Personale

Recapiti

Orario di ricevimento

Italiano

Curriculum

Pubblicazioni

Insegnamenti

English

Curriculum

Andrea CIANCHI

Ruolo attuale:: Professore Ordinario
SSD:: MAT/05 - Analisi matematica
Afferenza organizzativa:: Dipartimento di Matematica e Informatica 'Ulisse Dini'

Recapiti

	0552755407
	andrea.cianchi(AT)unifi.it

Ulteriori Recapiti

	Viale Morgagni 67/a, Stanza S09
	andrea.cianchi(AT)unifi.it

Andrea CIANCHI

Curriculum

Born in Florence (Italy), 16 February 1963.

Ph.D. in Mathematics, University of Florence, September 1993
INdAM (National Institute for High Mathematics)
Fellowship for Starting Research, University "La Sapienza", Rome (March
1987 - October 1987) and University of Florence (November
1987 - October 1988)
"Laurea" in Mathematics, University of Florence, December 1986
C.N.R. (National Research Council) Fellowship for
Undergraduate Students, November 1986 - February 1987

Academic positions
Full Professor, University of Florence, November 2000 -
present
Associate Professor, University of Florence, November
1993 - October 2000
Assistant Professor, University of Florence, December
1990 - October 1993

Offices
Head of the Department of Mathematics and Applications
to Architecture, University of Florence, November 2005 - October
2008
Member of "Collegio dei Docenti" of the Ph.D. in
Mathematics, University of Florence, 2000 - present
Member of "Collegio dei Docenti" of the Ph.D. in
Materials and Structures for Architecture, University of Florence,
2000 - present
Member of "Comitato dei Garanti" of the Faculty
of Architecture, University of Florence, 2001 - present
Member of national committees for positions of full
professor, associate professor and assistant professor.

Grants

Principal Investigator of the Prin
Research Project 2008 "Geometric aspects of partial differential
equations and related topics" financed by the Italian Ministry of
Instruction, University and Research (MIUR).

Principal Investigator of the Prin Research Project 2006 "Partial differential equations and functional inequalities:
quantitative aspects, geometric and qualitative properties,
applications" financed by the Italian Ministry of Instruction,
University and Research (MIUR).

Principal Investigator of Italian Research Projects
GNAMPA, National Institute of High Mathematics (INdAM), 2002 --
2006 and 2008 -- 2009.

Individual grant for young researchers of "Fondazione Francesco Severi", INdAM (National Institute of High
Mathematics), 1990.

Joint investigator in National Research Programs of
Italian MIUR 1994 -- 2001 and 2003 -- 2005

Joint investigator in the European I.N.T.A.S. Research
Program "Function spaces and applications to partial
differential equations", 2007 -- 2008;

Joint investigator in a NATO Collaborative Research Grant 1998 -- 1999

Joint investigator in Research Projects of the
University of Florence, 1987 -- present

Andrea CIANCHI

Pubblicazioni

Legenda

Contributo su rivista |

Articolo su libro |

Libro |

Contributo in atti di convegno (proceeding) |

Brevetto |

Curatela | Altro

Altro |

Tesi di Dottorato

Cianchi A.; Musil V.; Pick L. (2023). Optimal Sobolev embeddings for the Ornstein-Uhlenbeck operator. JOURNAL OF DIFFERENTIAL EQUATIONS, vol. 359, pp. 414-475, ISSN:0022-0396 DOI

Alberico A.; Cianchi A.; Pick L.; Slavikova L. (2023). Boundedness of functions in fractional Orlicz–Sobolev spaces. NONLINEAR ANALYSIS, vol. 230, pp. 0-0, ISSN:0362-546X DOI

Barletta G.; Cianchi A.; Marino G. (2023). Boundedness of solutions to Dirichlet, Neumann and Robin problems for elliptic equations in Orlicz spaces. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, vol. 62, pp. 0-0, ISSN:0944-2669 DOI

Cianchi A.; Maz'Ya V.G. (2023). SOBOLEV EMBEDDINGS INTO ORLICZ SPACES AND ISOCAPACITARY INEQUALITIES. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, vol. 376, pp. 91-121, ISSN:0002-9947 DOI

Cianchi, A; Musil, V; Pick, L (2022). On the Existence of Extremals for Moser-Type Inequalities in Gauss Space. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, vol. 2022, pp. 1494-1537, ISSN:1073-7928 DOI

Breit D.; Cianchi A.; Diening L.; Schwarzacher S. (2022). Global Schauder Estimates for the p -Laplace System. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, vol. 243, pp. 201-255, ISSN:0003-9527 DOI

Anna Kh. Balci, Andrea Cianchi, Lars Diening, Vladimir Maz’ya (2022). A pointwise differential inequality and second-order regularity for nonlinear elliptic systems. MATHEMATISCHE ANNALEN, vol. 383, pp. 1775-1824, ISSN:0025-5831 DOI

Angela Alberico, Andrea Cianchi, Lubos Pick, Lenka Slavikova (2021). On fractional Orlicz-Sobolev spaces. ANALYSIS AND MATHEMATICAL PHYSICS, vol. 11, pp. 0-0, ISSN:1664-2368 DOI

Breit D.; Cianchi A. (2021). Symmetric gradient Sobolev spaces endowed with rearrangement-invariant norms. ADVANCES IN MATHEMATICS, vol. 391, pp. 107954-107954, ISSN:0001-8708 DOI

Cianchi A.; Musil V.; Pick L. (2021). Sharp exponential inequalities for the Ornstein-Uhlenbeck operator. JOURNAL OF FUNCTIONAL ANALYSIS, vol. 281, pp. 109217-109217, ISSN:0022-1236 DOI

Alberico A.; Cianchi A.; Pick L.; Slavikova L. (2021). Fractional Orlicz-Sobolev embeddings. JOURNAL DE MATHÉMATIQUES PURES ET APPLIQUÉES, vol. 149, pp. 216-253, ISSN:0021-7824 DOI

Carozza M.; Cianchi A. (2021). Continuity properties of weakly monotone Orlicz-Sobolev functions. ADVANCES IN CALCULUS OF VARIATIONS, vol. 14, pp. 107-126, ISSN:1864-8258 DOI

Cianchi A.; Musil V.; Pick L. (2020). Moser inequalities in Gauss space. MATHEMATISCHE ANNALEN, vol. 377, pp. 1265-1312, ISSN:0025-5831 DOI

Cianchi A.; Maz'ya V.G. (2020). Sobolev inequalities for the symmetric gradient in arbitrary domains. NONLINEAR ANALYSIS, vol. 194, pp. 0-0, ISSN:0362-546X DOI

Cianchi A.; Maz'ya V.G. (2020). Second-Order Regularity for Parabolic p-Laplace Problems. THE JOURNAL OF GEOMETRIC ANALYSIS, vol. 30, pp. 1565-1583, ISSN:1050-6926 DOI

Cianchi A.; Pick L.; Slavikova L. (2020). Sobolev embeddings, rearrangement-invariant spaces and Frostman measures. ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE, vol. 37, pp. 105-144, ISSN:0294-1449 DOI Accesso ONLINE all'editore

Cianchi A.; Pick L.; Slavikova L. (2020). Sobolev embeddings in Orlicz and Lorentz spaces with measures. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol. 485, pp. 1-31, ISSN:0022-247X DOI Accesso ONLINE all'editore

Alberico A.; Cianchi A.; Pick L.; Slavikova L. (2020). On the Limit as s→ 0 + of Fractional Orlicz–Sobolev Spaces. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, vol. 26, pp. 0-0, ISSN:1069-5869 DOI

Alberico A.; Cianchi A.; Pick L.; Slavikova L. (2020). On the limit as s → 1- of possibly non-separable fractional Orlicz–Sobolev spaces. ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI, vol. 31, pp. 879-899, ISSN:1120-6330 DOI

Cianchi, Andrea; Pick, Lubos; Slavikova, Lenka (2019). Banach algebras of weakly differentiable functions. JOURNAL D'ANALYSE MATHEMATIQUE, vol. 138, pp. 473-511, ISSN:0021-7670

Cianchi, Andrea; Musil, Vit (2019). Optimal domain spaces in Orlicz-Sobolev embeddings. INDIANA UNIVERSITY MATHEMATICS JOURNAL, vol. 68, pp. 925-966, ISSN:0022-2518 DOI

Alberico A.; Chlebicka I.; Cianchi A.; Zatorska-Goldstein A. (2019). Fully anisotropic elliptic problems with minimally integrable data. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, vol. 58, pp. 1-50, ISSN:0944-2669 DOI Accesso ONLINE all'editore

Cianchi A.; Maz'ya V.G. (2019). Optimal second-order regularity for the p-Laplace system. JOURNAL DE MATHÉMATIQUES PURES ET APPLIQUÉES, vol. 132, pp. 41-78, ISSN:0021-7824 DOI Accesso ONLINE all'editore

Carozza M.; Cianchi A. (2018). On the continuity of weakly monotone functions. NONLINEAR ANALYSIS, vol. 177, pp. 238-253, ISSN:0362-546X DOI

Andrea Cianchi; Vladimir Maz'ya (2018). Second-order two-sided estimates in nonlinear elliptic problems. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, vol. 229, pp. 569-599, ISSN:0003-9527 DOI Accesso ONLINE all'editore

Cianchi, A.*; Schwarzacher, S. (2018). Potential estimates for the p-Laplace system with data in divergence form. JOURNAL OF DIFFERENTIAL EQUATIONS, vol. 265, pp. 478-499, ISSN:0022-0396 DOI Accesso ONLINE all'editore

Cavaliere, Paola; Cianchi, Andrea; Pick, Lubos; Slavikova, Lenka (2018). Norms supporting the Lebesgue differentiation theorem. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, vol. 20, pp. 1-33, ISSN:0219-1997 DOI

Alberico, Angela; Cianchi, Andrea; Pick, Luboš; Slavíkova, Lenka (2018). Sharp sobolev type embeddings on the entire euclidean space. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, vol. 17, pp. 2011-2037, ISSN:1534-0392 DOI Accesso ONLINE all'editore

D.Breit, A.Cianchi, L.Diening, T.Kuusi, S.Schwarzacher (2018). Pointwise Calderon-Zygmund gradient estimates for the p-Laplace system. JOURNAL DE MATHÉMATIQUES PURES ET APPLIQUÉES, vol. 114, pp. 146-190, ISSN:0021-7824 DOI Accesso ONLINE all'editore

Cianchi A.; Ferone V.; Nitsch C.; Trombetti C. (2018). Poincaré Trace Inequalities in BV(B^n) with Non-standard Normalization. THE JOURNAL OF GEOMETRIC ANALYSIS, vol. 28, pp. 3522-3552, ISSN:1050-6926 DOI Accesso ONLINE all'editore

Breit, D.; Cianchi, Andrea; Diening, L.; Kuusi, T.; Schwarzacher, S. (2017). The p-Laplace system with right-hand side in divergence form: Inner and up to the boundary pointwise estimates. NONLINEAR ANALYSIS, vol. 153, pp. 200-212, ISSN:0362-546X DOI

Cianchi, Andrea; Ioku, Norisuke (2017). Canceling effects in higher-order Hardy-Sobolev inequalities. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, vol. 56, pp. 1-18, ISSN:0944-2669

Barletta, Giuseppina; Cianchi, Andrea (2017). Dirichlet problems for fully anisotropic elliptic equations. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS, vol. 147, pp. 25-60, ISSN:0308-2105 DOI Accesso ONLINE all'editore

Breit, D.; Cianchi, Andrea; Diening, L. (2017). Trace-free korn inequalities in orlicz spaces. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, vol. 49, pp. 2496-2526, ISSN:0036-1410 DOI Accesso ONLINE all'editore

Cianchi, Andrea; Vincenzo, Ferone; Carlo, Nitsch; Cristina, Trombetti (2017). Balls minimize trace constants in BV. JOURNAL FÜR DIE REINE UND ANGEWANDTE MATHEMATIK, vol. 725, pp. 41-61, ISSN:1435-5345

Barletta, Giuseppina; Cianchi, Andrea; Maz'Ya, Vladimir (2017). Quasilinear elliptic equations on noncompact Riemannian manifolds. JOURNAL OF FUNCTIONAL ANALYSIS, vol. 273, pp. 3426-3462, ISSN:0022-1236 DOI Accesso ONLINE all'editore

Alberico, Angela; Cianchi, Andrea; Sbordone, Carlo (2017). Continuity properties of solutions to the p-Laplace system. ADVANCES IN CALCULUS OF VARIATIONS, vol. 10, pp. 1-24, ISSN:1864-8258

Cianchi, Andrea; Maz'Ya, Vladimir (2017). Quasilinear elliptic problems with general growth and merely integrable, or measure, data. NONLINEAR ANALYSIS, vol. 164, pp. 189-215, ISSN:0362-546X DOI

CIANCHI, ANDREA; MAZ'YA, VLADIMIR (2016). Sobolev inequalities in arbitrary domains. ADVANCES IN MATHEMATICS, vol. 293, pp. 644-696, ISSN:0001-8708 DOI Accesso ONLINE all'editore

Carozza, Menita; Cianchi, Andrea (2016). Smooth approximation of Orlicz-Sobolev maps between manifolds. POTENTIAL ANALYSIS, vol. 45, pp. 557-578, ISSN:0926-2601

Alberico, Angela; Cianchi, Andrea; Sbordone, Carlo (2016). Gradient regularity for quasilinear elliptic Dirichlet problems in the plane. NONLINEAR ANALYSIS, vol. 145, pp. 143-161, ISSN:0362-546X

Andrea Cianchi; Lubos Pick; Lenka Slavikova (2015). Higher-order Sobolev embeddings and isoperimetric inequalities. ADVANCES IN MATHEMATICS, vol. 273, pp. 568-650, ISSN:0001-8708 DOI Accesso ONLINE all'editore

Alberico, Angela; Cianchi, Andrea; Sbordone, Carlo (2015). On the modulus of continuity of solutions to the n-Laplace equation. JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS, vol. 1, pp. 1-12, ISSN:2296-9020

Breit, Dominic; Cianchi, Andrea (2015). Negative Orlicz–Sobolev norms and strongly nonlinear systems in fluid mechanics. JOURNAL OF DIFFERENTIAL EQUATIONS, vol. 259, pp. 48-83, ISSN:0022-0396 DOI Accesso ONLINE all'editore

Paola Cavaliere; Andrea Cianchi (2014). Classical and approximate Taylor expansions of weakly differentiable functions. ANNALES ACADEMIAE SCIENTIARUM FENNICAE. MATHEMATICA, vol. 39, pp. 527-544, ISSN:1239-629X

Andrea Cianchi (2014). Korn type inequalities in Orlicz spaces. JOURNAL OF FUNCTIONAL ANALYSIS, vol. 267, pp. 2313-2352, ISSN:0022-1236

Andrea Cianchi; Erwin Lutwak; Deane Yang; Gaoyong Zhang; (2014). A unified approach to Cramér-Rao inequalities. IEEE TRANSACTIONS ON INFORMATION THEORY, vol. 60, pp. 643-650, ISSN:0018-9448

Andrea Cianchi; Lubos Pick; Lenka Slavikova (2014). A sharp iteration principle for higher-order Sobolev emebeddings. In: Calculus of Variations and PDEs, Szczawnica, luglio 2012, Institute of mathematics, Polish academy of sciences, pp. 37-58.

Andrea Cianchi; Vladimir Maz'ya (2014). Gradient regularity via rearrangements for p-Laplacian type elliptic boundary value problems. JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, vol. 16, pp. 571-595, ISSN:1435-9855

Andrea Cianchi; Vladimir Maz'ya (2014). Global Boundedness of the Gradient for a Class of Nonlinear Elliptic Systems. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, vol. 212, pp. 129-177, ISSN:0003-9527

Andrea Cianchi (2013). Eigenfunctions of the Laplace-Beltrami operator, and isoperimetric and isocapacitary inequalities. BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, vol. 6, pp. 167-190, ISSN:1972-6724

Andrea Cianchi; Vladimir Maz'ya (2013). Boundedness of the gradient of solutions to Uhlenbeck type elliptic systems. In: The p-Laplacian Operator and Applications, Oberwolfach, febbraio 2013, European Mathematical Society Publishing House, pp. 35-37.

Andrea Cianchi; Vladimir Maz'ya (2013). Bounds for eigenfunctions of the Laplacian on noncompact Riemannian manifolds. AMERICAN JOURNAL OF MATHEMATICS, vol. 135, pp. 1-57, ISSN:0002-9327

Robert Cerny; Andrea Cianchi; Stanislav Hencl (2013). Concentration-compactness principles for Moser-Trudinger inequalities: new results and proofs. ANNALI DI MATEMATICA PURA ED APPLICATA, vol. 192, pp. 225-243, ISSN:0373-3114

Andrea Cianchi (2012). A sharp trace inequality for functions of bounded variation in the ball. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS, vol. 142, pp. 1179-1191, ISSN:0308-2105 DOI

Andrea Cianchi; Adele Ferone (2012). Improving sharp Sobolev type inequalities by optimal remainder gradient norms. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, vol. 11, pp. 1385-1408, ISSN:1534-0392 DOI

Andrea Cianchi; Vladimir Maz'ya (2012). Boundedness of solutions to the Schrödinger equation under Neumann boundary conditions. JOURNAL DE MATHÉMATIQUES PURES ET APPLIQUÉES, vol. 98, pp. 654-688, ISSN:1776-3371

Andrea Cianchi; Monia Randolfi (2012). Differentiability properties of functions from higher-orderOrlicz-Sobolev spaces. NONLINEAR ANALYSIS, vol. 75, pp. 3322-3338, ISSN:0362-546X

Cianchi, Andrea; Monia, Randolfi (2011). On the modulus of continuity of weakly differentiable functions. INDIANA UNIVERSITY MATHEMATICS JOURNAL, vol. 60, pp. 1939-1973, ISSN:0022-2518

A.Cianchi; N.Fusco; F.Maggi; A.Pratelli (2011). On the isoperimetric deficit in the Gauss space. AMERICAN JOURNAL OF MATHEMATICS, vol. 133, pp. 131-186, ISSN:0002-9327

A.Cianchi; V.Maz'ya (2011). On the discreteness of the spectrum of the Laplacian on noncompact Riemannian manifolds. JOURNAL OF DIFFERENTIAL GEOMETRY, vol. 87, pp. 469-491, ISSN:0022-040X

A.Cianchi; V.Maz'ya (2011). Global Lipschitz regularity for a class of quasilinear elliptic equations. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, vol. 36, pp. 100-133, ISSN:0360-5302

Cianchi, Andrea (2011). Nonlinear potentials, local solutions to elliptic equations, and rearrangements. ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA. CLASSE DI SCIENZE, vol. 10, pp. 335-361, ISSN:0391-173X

Cianchi, Andrea; Pick, L. (2010). An optimal endpoint trace embedding. ANNALES DE L'INSTITUT FOURIER, vol. 60, pp. 939-951, ISSN:0373-0956

A.Cianchi (2010). On Some Aspects of the Theory of Orlicz--Sobolev Spaces. In: Ed. T.Rozhkovskaya. Around the Research of Vladimir Maz'ya I. Function Spaces, pp. 81-104, Berlino: Springer, ISBN:9781441913401.

Cianchi, Andrea (2010). Orlicz-Sobolev boundary trace embeddings. MATHEMATISCHE ZEITSCHRIFT, vol. 266, pp. 431-449, ISSN:0025-5874

A.Alvino; A.Cianchi; V.G.Mazya; A.Mercaldo (2010). Well-posed elliptic Neumann problems involving irregular data and domains. ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE, vol. 27, pp. 1017-1054, ISSN:0294-1449

T.Alberico; A.Cianchi; C.Sbordone (2009). Fractional integrals and Ap-weights: a sharp estimate. COMPTES RENDUS MATHÉMATIQUE, vol. 347, pp. 1265-1270, ISSN:1631-073X

A. Cianchi; P. Salani (2009). Overdetermined anisotropic elliptic problems. MATHEMATISCHE ANNALEN, vol. 345, pp. 859-881, ISSN:0025-5831

A.Cianchi; N.Fusco; F.Maggi; A.Pratelli (2009). The sharp Sobolev inequality in quantitative form. JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, vol. 11, pp. 1105-1139, ISSN:1435-9855 DOI

A.Cianchi (2009). Sharp estimates for nonlinear potentials and applications. In: Eds.: A.Cialdea, F.Lanzara, P.E.Ricci. Analusis, partial differential equations and applications, pp. 57-64, Basilea: Birkhauser Verlag, ISBN:9783764398972.

Cianchi, Andrea; Pick, L. (2009). Optimal Gaussian Sobolev embeddings. JOURNAL OF FUNCTIONAL ANALYSIS, vol. 256, pp. 3588-3642, ISSN:0022-1236

A. CIANCHI; A. FERONE (2009). Best remainder norms in Sobolev-Hardy inequalities. INDIANA UNIVERSITY MATHEMATICS JOURNAL, vol. 58, pp. 1051-1096, ISSN:0022-2518

A. CIANCHI; E. LUTWAK; D. YANG; G. ZHANG (2009). Affine Moser-Trudinger and Morrey-Sobolev inequalities. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, vol. 36, pp. 419-436, ISSN:0944-2669

A. Cianchi (2009). Quantitative Sobolev and Hardy inequalities, and related symmetrization principles. In: V.G.Maz'ya (Ed.). Sobolev spaces in mathematics, pp. 87-116, Berlin: Springer, ISBN:9780387856476.

Cianchi, Andrea (2008). Orlicz-Sobolev algebras. POTENTIAL ANALYSIS, vol. 28, pp. 379-388, ISSN:0926-2601

Cianchi, Andrea; Maz'Ya, V. (2008). Neumann problems and isocapacitary inequalities. JOURNAL DE MATHÉMATIQUES PURES ET APPLIQUÉES, vol. 89, pp. 71-105, ISSN:0021-7824

A. CIANCHI; L. ESPOSITO; N. FUSCO; C. TROMBETTI (2008). A quantitative Polya-Szego principle. JOURNAL FÜR DIE REINE UND ANGEWANDTE MATHEMATIK, vol. 614, pp. 153-189, ISSN:0075-4102, l'editore è cambiato piu' volte, ultimo: Walter de Gruyter and Company:Genthinerstrasse 13, D 10785 Berlin Germany:011 49 30 260050, EMAIL: customerservice@deguyter.de, INTERNET: http://www.degruyter.de/, Fax: 011 49 30 26005338:

Cianchi, Andrea; Ferone, A. (2008). A strengthened version of the Hardy-Littlewood inequality. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY, vol. 77, pp. 581-592, ISSN:0024-6107, Cambridge University Press / New York:40 West 20th Street:New York, NY 10011:(800)872-7423, (212)924-3900, EMAIL: journals_subscriptions@cup.org, INTERNET: http://www.journals.cambridge.org, Fax: (212)691-3239:

Cianchi, Andrea (2008). Moser-Trudinger trace inequalities. ADVANCES IN MATHEMATICS, vol. 217, pp. 2005-2044, ISSN:0001-8708, Academic Press Incorporated:6277 Sea Harbor Drive:Orlando, FL 32887:(800)543-9534, (407)345-4100, EMAIL: ap@acad.com, INTERNET: http://www.idealibrary.com, Fax: (407)352-3445:

A. CIANCHI; R. KERMAN; L. PICK (2008). Boundary trace inequalities and rearrangements. JOURNAL D'ANALYSE MATHEMATIQUE, vol. 105, pp. 241-265, ISSN:0021-7670, Magnes Press:The Hebrew University, PO Box 39099, Jerusalem 91390 Israel:011 972 2 6586656, 011 972 2 6586660, EMAIL: magneshl@pob.huji.ac.il, INTERNET: http://www.huji.ac.il/unew/magnes.html, Fax: 011 972 2 5633370:

A. ALBERICO; A. CIANCHI (2008). Comparison estimates in anisotropic variational problems. MANUSCRIPTA MATHEMATICA, vol. 126, pp. 481-503, ISSN:0025-2611

A. CIANCHI (2008). Sharp Morrey-Sobolev inequalities and the distance from extremals. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, vol. 360, pp. 4335-4347, ISSN:0002-9947

A. CIANCHI; A. FERONE (2008). Hardy inequalities with non-standard remainder terms. ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE, vol. 25, pp. 889-906, ISSN:0294-1449, Attuale: Paris: Elsevier 1998- Gauthier-Villars:15 rue Gossin, 92543 Montrouge Cedex France:011 33 1 40 926500, Fax: 011 33 1 40 926597:

Alberico, A.; Cianchi, Andrea (2007). Optimal summability of solutions to nonlinear elliptic problems. NONLINEAR ANALYSIS, vol. 67, pp. 1775-1790, ISSN:0362-546X, Elsevier Science Limited:Oxford Fulfillment Center, PO Box 800, Kidlington Oxford OX5 1DX United Kingdom:011 44 1865 843000, 011 44 1865 843699, EMAIL: asianfo@elsevier.com, tcb@elsevier.co.UK, INTERNET: http://www.elsevier.com, http://www.elsevier.com/locate/shpsa/, Fax: 011 44 1865 843010:

A. ALBERICO; A. CIANCHI (2007). Borderline sharp estimates for solutions to Neumann problems. ANNALES ACADEMIAE SCIENTIARUM FENNICAE. MATHEMATICA, vol. 32, pp. 27-53, ISSN:1239-629X

A. CIANCHI (2007). Symmetrization in anisotropic elliptic problems. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, vol. 32, pp. 693-717, ISSN:0360-5302

A. CIANCHI (2006). A quantitative Sobolev inequality in BV. JOURNAL OF FUNCTIONAL ANALYSIS, vol. 237, pp. 466-481, ISSN:0022-1236, Academic Press Incorporated:6277 Sea Harbor Drive:Orlando, FL 32887:(800)543-9534, (407)345-4100, EMAIL: ap@acad.com, INTERNET: http://www.idealibrary.com, Fax: (407)352-3445:

A. CIANCHI; N. FUSCO (2006). Steiner symmetric extremals in Polya-Szego type inequalities. ADVANCES IN MATHEMATICS, vol. 203, pp. 673-728, ISSN:0001-8708

A. CIANCHI (2006). Higher-order Sobolev and Poincaré inequalities in Orlicz spaces. FORUM MATHEMATICUM, vol. 18, pp. 745-767, ISSN:0933-7741, Walter de Gruyter and Company:Genthinerstrasse 13, D 10785 Berlin Germany:011 49 30 260050, EMAIL: customerservice@deguyter.de, INTERNET: http://www.degruyter.de/, Fax: 011 49 30 26005338:

A. CIANCHI; N. FUSCO (2006). Minimal rearrangements, strict convexity and critical points. APPLICABLE ANALYSIS, vol. 85, pp. 67-85, ISSN:0003-6811

A. CIANCHI; N. FUSCO (2006). Dirichlet integrals and Steiner asymmetry. BULLETIN DES SCIENCES MATHEMATIQUES, vol. 130, pp. 675-696, ISSN:0007-4497, Elsevier BV:PO Box 211, 1000 AE Amsterdam Netherlands:011 31 20 4853757, 011 31 20 4853642, 011 31 20 4853641, EMAIL: nlinfo-f@elsevier.nl, INTERNET: http://www.elsevier.nl, Fax: 011 31 20 4853598:

M. CHLEBIK; A. CIANCHI; N. FUSCO (2005). The perimeter inequality under Steiner symmetrization: cases of equality. ANNALS OF MATHEMATICS, vol. 162, pp. 525-555, ISSN:0003-486X

A. ALBERICO; A. CIANCHI (2005). Moser type estimates in nonlinear Neumann problems. In: Workshop on Partial Differential Equations: Methodological Aspects, Modelling, Applications, vol. 60, pp. 363-368.

Cianchi, Andrea; Ferone, A. (2005). On symmetric functionals of the gradient having symmetric equidistributed minimizers. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, vol. 38, pp. 279-308, ISSN:0036-1410, Society for Industrial and Applied Mathematics:3600 University City Science Center:Philadelphia, PA 19104:(800)447-7426, (215)382-9800, EMAIL: service@siam.org, INTERNET: http://www.siam.org, Fax: (215)386-7999:

A. CIANCHI; A. FERONE (2005). Strict Polya-Szego inequalities for general functionals of the gradient. In: Renato Caccioppoli Centenary Conference, vol. 54, pp. 533-538.

A. ALBERICO; A. CIANCHI (2005). Optimal bounds for solutions to Neumann problems in limiting cases. In: Renato Caccioppoli Centenary Conference, vol. 54, pp. 477-483.

Alberico, A.; Cianchi, Andrea (2005). Differentiability properties of Orlicz-Sobolev functions. ARKIV FÖR MATEMATIK, vol. 43, pp. 1-28, ISSN:0004-2080

A. CIANCHI (2005). Moser-Trudinger inequalities without boundary conditions and isoperimetric problems. INDIANA UNIVERSITY MATHEMATICS JOURNAL, vol. 54, pp. 669-705, ISSN:0022-2518

A. CIANCHI (2004). Symmetrization and second-order Sobolev inequalities. ANNALI DI MATEMATICA PURA ED APPLICATA, vol. 183, pp. 45-77, ISSN:0373-3114

A. Cianchi; N. Fusco (2004). Strict monotonicity of functionals under Steiner symmetrization. In: D. Pallara (Ed.). Calculus of variations: topics from the mathematical heritage of E.De Giorgi, pp. 189-225, Roma: Aracne.

Cianchi, Andrea (2004). Optimal Orlicz-Sobolev embeddings. REVISTA MATEMATICA IBEROAMERICANA, vol. 20, pp. 427-474, ISSN:0213-2230

A. CIANCHI; L. PICK (2003). Sobolev embeddings into spaces of Campanato, Morrey and Holder type. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol. 282, pp. 128-150, ISSN:0022-247X

A. CIANCHI (2003). Sharp Summability of Functions from Orlicz-Sobolev Spaces. In: Function spaces, differential operators and nonlinear analysis, giugno-luglio 2001, BIRKHAUSER VERLAG, pp. 245-254, ISBN:3764369353

A. CIANCHI; N. FUSCO (2002). Symmetrization and functionals defined on BV. In: Variational methods for discontinuous structures, pp. 91-102.

Cianchi, Andrea; Fusco, N. (2002). Functions of bounded variation and rearrangements. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, vol. 165, pp. 1-40, ISSN:0003-9527

A. CIANCHI (2001). Rearrangements of functions in Besov spaces. MATHEMATISCHE NACHRICHTEN, vol. 230, pp. 19-35, ISSN:0025-584X

A. Cianchi (2001). Rearrangement estimates and applications to Sobolev and related inequalities. In: Function spaces and interpolation, Paseky (Repubblica Ceca), maggio-giugno 2001, pp. 1-44, ISBN:8085863669

A. Cianchi (2001). Second order Polya-Szego type inequalities. In: Singular integrals and related topics III, pp. 8-16.

A. CIANCHI (2000). A fully anisotropic Sobolev inequality. PACIFIC JOURNAL OF MATHEMATICS, vol. 196, pp. 283-295, ISSN:0030-8730

A. Cianchi (2000). Second order variation reducing properties of rearrangements. In: Function spaces, differential operators and nonlinear analysis, Pudasjarvi, giugno 1999, pp. 48-56, ISBN:808582342X

A. CIANCHI (2000). Second order derivatives and rearrangements. DUKE MATHEMATICAL JOURNAL, vol. 105, pp. 355-385, ISSN:0012-7094

Cianchi, Andrea; Kerman, R.; Opic, B.; Pick, L. (2000). A sharp rearrangement inequality for the fractional maximal operator. STUDIA MATHEMATICA, vol. 138, pp. 277-284, ISSN:0039-3223

A. CIANCHI (2000). Local boundedness of minimizers of anisotropic functionals. ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE, vol. 17, pp. 147-168, ISSN:0294-1449

A. CIANCHI (1999). Hardy inequalities in Orlicz spaces. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, vol. 351, pp. 2459-2478, ISSN:0002-9947

A. Cianchi (1999). Some results in the theory of Orlicz spaces and applications to variational problems. In: Nonlinear analysis, function spaces and applications, Praga, maggio-giugno 1998, pp. 50-92, ISBN:8085823381

A. CIANCHI (1999). Strong and weak type inequalities for some classical operators in Orlicz spaces. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY, vol. 60, pp. 187-202, ISSN:0024-6107

Cianchi, Andrea (1999). Optimal integrability of the jacobian of orientation preserving maps. BOLLETTINO DELL'UNIONE MATEMATICA ITALIANA. B, vol. 2, pp. 619-628, ISSN:0392-4041

A. CIANCHI; N. FUSCO (1999). Gradient regularity for minimizers under general growth conditions. JOURNAL FÜR DIE REINE UND ANGEWANDTE MATHEMATIK, vol. 507, pp. 15-36, ISSN:0075-4102

A. Cianchi (1998). Interpolation of operators and the Sobolev embedding theorem for Orlicz spaces. In: Equadiff 95, Lisbona, Luglio 1995, pp. 306-310, ISBN:981023421X

A. CIANCHI; L. PICK (1998). Sobolev embeddings into BMO, VMO and L^infinity. ARKIV FÖR MATEMATIK, vol. 36, pp. 317-340, ISSN:0004-2080

A. CIANCHI; B. STROFFOLINI (1998). An extension of Hedberg's convolution inequality and applications. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol. 227, pp. 166-186, ISSN:0022-247X

A. CIANCHI (1998). An optimal interpolation theorem of Marcimkiewicz type in Orlicz spaces. JOURNAL OF FUNCTIONAL ANALYSIS, vol. 153, pp. 357-381, ISSN:0022-1236

Cianchi, Andrea; Edmunds, D. E. (1997). On fractional integration in weighted Lorentz spaces. QUARTERLY JOURNAL OF MATHEMATICS, vol. 48, pp. 439-451, ISSN:0033-5606

A. CIANCHI (1997). Boundedness of solutions to variational problems under general growth conditions. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, vol. 22, pp. 1629-1646, ISSN:0360-5302

Cianchi, Andrea (1997). A note on two-weight inequalities for maximal functions and singular integrals. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, vol. 29, pp. 53-59, ISSN:0024-6093

Pesciullesi, C.; Rapallini, M.; Tralli, A.; Cianchi, Andrea (1997). On optimal spherical masonry domes of uniform strenght. JOURNAL OF STRUCTURAL ENGINEERING, vol. 123, pp. 203-209, ISSN:0733-9445

Cianchi, Andrea; Edmunds, D. E.; Gurka, P. (1996). On weighted Poincaré inequalities. MATHEMATISCHE NACHRICHTEN, vol. 180, pp. 15-41, ISSN:0025-584X

A. CIANCHI (1996). Continuity properties of functions from Orlicz-Sobolev spaces and embedding theorems. ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA. CLASSE DI SCIENZE, vol. 23, pp. 575-608, ISSN:0391-173X Accesso ONLINE all'editore

Cianchi, Andrea (1996). On the Lq norm of functions having equidistributed gradients. NONLINEAR ANALYSIS, vol. 26, pp. 2007-2021, ISSN:0362-546X

A. CIANCHI (1996). A sharp embedding theorem for Orlicz-Sobolev spaces. INDIANA UNIVERSITY MATHEMATICS JOURNAL, vol. 45, pp. 39-65, ISSN:0022-2518

A. CIANCHI (1994). Breaking of symmetry in Poisson equation. APPLICABLE ANALYSIS, vol. 54, pp. 113-134, ISSN:0003-6811

A. CIANCHI (1993). Local minimizers and rearrangements. APPLIED MATHEMATICS AND OPTIMIZATION, vol. 27, pp. 261-274, ISSN:0095-4616

A. CIANCHI (1993). Optimal gradient bounds and heat equation. DIFFERENTIAL AND INTEGRAL EQUATIONS, vol. 6, pp. 1079-1088, ISSN:0893-4983

A. CIANCHI; R. SCHIANCHI (1993). A priori sharp estimates for minimizers. BOLLETTINO DELL'UNIONE MATEMATICA ITALIANA. B, vol. 7, pp. 261-274, ISSN:0392-4041

A. CIANCHI (1992). Maximizing the L^infinity norm of the gradient of solutions to the Poisson equation. THE JOURNAL OF GEOMETRIC ANALYSIS, vol. 2, pp. 499-515, ISSN:1050-6926

A. CIANCHI (1990). Elliptic equations on manifolds and isoperimetric inequalities. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS, vol. 114, pp. 213-227, ISSN:0308-2105

A. CIANCHI (1989). A sharp form of Poincaré inequalities on balls and spheres. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, vol. 40, pp. 558-569, ISSN:0044-2275

A. CIANCHI (1989). On relative isoeprimetric inequalities in the plane. BOLLETTINO DELL'UNIONE MATEMATICA ITALIANA. B, vol. 3, pp. 289-325, ISSN:0392-4041

Andrea CIANCHI

Curriculum

Curriculum Vitae of ANDREA CIANCHI

Born in Florence (Italy), 16 February 1963

EDUCATION

- Ph.D. in Mathematics, University of Florence, September 1993

- INdAM (National Institute for High Mathematics) Fellowship for Starting Research, University “ La Sapienza", Rome (March 1987 - October 1987) and University of Florence (November 1987 - October 1988)

- C.N.R. (National Research Council) Fellowship for Undergraduate Students, November 1986 - February 1987

- Laurea in Mathematics, University of Florence, December 1986

ACADEMIC POSITIONS

- Full Professor, University of Florence, November 2000 – present

- Associate Professor, University of Florence, November 1993 - October 2000

- Assistant Professor, University of Florence, December 1990 - October 1993

AWARDS and HONORS

- Prize “Luigi e Wanda Amerio” 2018 awarded by Istituto Lombardo delle Scienze e delle Lettere,

- Invited speaker, Indam Day, 2018

- Guest Professor (permanent), Charles University, Prague, Czech Republic, December 2014 – present

- Prize “Gaetano Fichera” 2014 awarded by the Italian Mathematical Union,

- Commemorative Medal of the Faculty of Mathematics and Physics of Charles University in Prague, 2014

- Plenary speaker, “19-th Meeting of the Italian Mathematical Union”, 2011

- Post-graduate research prize of “Fondazione Francesco Severi”, 1990

GRANTS

- Principal Investigator of the PRIN Research Project “Direct and inverse problems for partial differential equations: theoretical aspects and applications" financed by MIUR (Italian Ministry of Education, University and Research). Total number of participants: 32 from several Italian institutions. Call: 2017.

- Principal Investigator of the PRIN Research Project “Partial differential equations and related analytic-geometric inequalities" financed by MIUR (Italian Ministry of Education, University and Research). Total number of participants: 10 from several Italian institutions. Call: 2015.

- Principal Investigator of the PRIN Research Project “Elliptic and parabolic partial differential equations: geometric aspects, related inequalities, and applications" financed by MIUR. Total number of participants: 22 from several Italian institutions. Call: 2012.

- Principal Investigator of the PRIN Research Project “Geometric aspects of partial differential equations and related topics" financed by MIUR. Total number of participants: 71 from several Italian institutions. Call: 2008.

- Principal Investigator of the PRIN Research Project “Partial differential equations and functional inequalities: quantitative aspects, geometric and qualitative properties, applications" financed by MIUR. Total number of participants: 63 from several Italian institutions Call: 2006.

- Principal Investigator of the Research Projects of GNAMPA, of INdAM, years 2002, 2004, 2005, 2006, 2008, 2009.

OFFICES

Member of “Commisione di autovalutazione e indirizzo” of the Department of Mathematics and Informatics “U.Dini”, University of Florence, February 2013 – present

Director of the “Department of Mathematics and Applications to Architecture”, University of Florence, November 2005 – October 2008

Member of “Collegio dei Docenti" of the Ph.D. in Mathematics, University of Florence, 2000 – 2013 and 2019-present

Member of “Collegio dei Docenti" of the Ph.D. in Materials and Structures for Architecture, University of Florence, 2000 - 2011

Member of “Comitato dei Garanti" of the Faculty of Architecture, University of Florence, 2001 - 2014

EDITORIAL ACTIVITIES

- Applicable Analysis (2018-)

- Journal of Mathematical Analysis and Applications (2006 – )

- Annali di Matematica Pura e Applicata (2007 – )

- Proceedings of the Razmadze Mathematical Institute (2005 – )

- Necas Center lecture notes (2017 -)

INVITED TALKS AT CONFERENCES (2010-present)

- “Shape optimization and isoperimetric and functional inequalities”, Levico, September 2019

- “Barcelona Analysis Conference”, Barcelona, June, 2019

-“Singular Nonlinear Problems in Calculus of Variations and PDEs”, Napoli, June, 2019

- “Nonlinear averaging and PDEs”, Levico, June, 2019

- “One day workshop on PDEs”, Roma, May, 2019

- “Weekend on variational methods and differential equations”, Catania, December 2018.

- Special session “Nonlinear partial differential equations and related function spaces”, Joint Meeting UMI-SIMAI-PTM, Wroclaw (Poland), September 2018.

- Special session “Optimization, microstructures, and applications to mechanics”, Joint Meeting UMI-SIMAI-PTM, Wroclaw (Poland), September 2018.

- Workshop “Nonlinear Days in Frankfurt”, Francoforte (Germany), August 2018.

- ICM 2018 Satellite Conference on Nonlinear Partial Differential Equations, Fortaleza (Brasil), July 2018

- Conference “Giornata INDAM 2018”, Cagliari, June 2018.

- Special session “Recent advances in approximation theory and operator theory”, AMS Sectional Meeting, Columbus, Ohio (USA), March 2018.

- Workshop “Analysis, Approximation theory, operator theory and their Interactions”, Columbus, Ohio (USA), March 2018.

- Conference “New trends in Calculus of Variations and PDE’s”, Firenze-Montecatini, June 2017.

- "International Conference on PDEs, Geometric Analysis and Functional Inequalities”, Sydney (Australia), March 2017.

- Workshop "Partial differential equationa and related anlaytic-geometric inequalities", Milano, February 2017.

- "Meeting of the Royal Spanish Mathematical Society (RSME)", Zaragoza (Spain), January 2017.

- Workshop, “Analysis on shapes of solutions to partial differential equations, Kyoto (Japan), November 2016.

- Workshop “Geometric and analytic inequalities”, Birs Centre, Banff (Canada), July 2016.

- Conference “New trends in Calculus of Variations”, Accademia dei Lincei, Roma, May 2016

- “9^th European Conference on Elliptic and Parabolic Problems”, Gaeta, May 2016

- Conference “Regularity theory for elliptic and parabolic systems and problems in continuum mechanics”, Telc (Rep. Ceca), April 2016

- “2015 NIMS Hot Topics Workshop on Regularity Theory on Elliptic and Parabolic Equations”, Seoul (South Korea), December 2015.

- Workshop “Affine convex geometry”, Oaxaca (Mexico), September 2015.

- Conference “Geometric Properties for Parabolic and Elliptic PDE's”, Palinuro, May 2015.

- Meeting of the Western Section of the American Mathematical Society, Las Vegas, USA, April 2015.

- Workshop “Topics in Elliptic and Parabolic PDEs”, Napoli, September 2014.

- Workshop “Regularity theory for elliptic and parabolic systems and problems in continuum mechanics, Telc (Czech Republic), May 2014

- Conference "Analysis of Partial Differential Equations", Liverpool (U.K.), December 2013

- Program "Evolutionary equations", Institut Mittag-Leffler, Stoccolma (Svezia), November 2013

- "2° Weekend on Variational Methods and Differential Equations", Reggio Calabria, October 2013

- "Conference on convex geometry", Castro Urdiales (Spagna), September 2013

- Conference "Equadiff13", Prague (Czech Republic), August 2013- Workshop “The p-Laplacian Operator and Applications”, Oberwolfach (Germania), February 2013.

- Conference “Calculus of Variations and PDE”, Szczawnica (Polonia) July 2012.

- Conference “New trends in mathematical analysis”, Milano, March 2012.

- “Workshop on geometric properties of solutions of nonlinear PDEs and their applications”, Banff (Canada), July 2011.

- Conference on "New Function Spaces in PDEs and Harmonic Analysis", Napoli (Italy), June 2011.

- Conference “New trends in spectral theory and applications", Cardiff, December 2010

- Conference “ Topics in nonlinear PDE’s, Varenna, September 2010

-“St.Petersburg Conference in Spectral Theory", St.Petersburg (Russia), July 2010.

- “International conference on the isoperimetric problem of queen Dido and its mathematical ramifications", Carthage (Tunisia), May 2010

COURSES DELIVERED AT INTERNATIONAL ADVANCED SCHOOLS (2010-present)

- Spring School “Function spaces, embeddings and extrapolation”, Paseky (Czech Republic), May-June 2017.

- “Seminar in Differential Equations”, Ostrov (Czech republic), May-June 2016.

- Spring School “Nonlinear analysis, function spaces and applications (NAFSA)”, Trest (Czech Republic), June 2014.

- "Mini-courses in Analysis 2013", Padova, June 2013

- Summer school “Optimal mass transport and geometric inequalities", Kleinwalsertal (Austria), September 2010

- Summer school on “Partial differential equations" Cortona, August 2010

ORGANIZATION OF INTERNATIONAL CONFERENCES (2010-present)

- Workshop “Analytic-Geometric inequalities and related topics”, Institut Mittag-Leffler, Stockholm (Sweden), May 2019.

- Conference “Sobolev spaces and partial differential equations”, Accademia dei Lincei, Rome (Italy), May 2018

- Conference “Partial differential equations and related topics”, Alghero (Italy), September 2016

- Special session “Analisi reale e disuguaglianze funzionali”, 20th Congress of the Italian Mathematical Union, Siena (Italy), September 2015

- Equadiff 2013, Prague (Czech Republic), August 2013.

- INdAM Workshop on “Geometric properties of solutions of partial differential equations” Cortona (Italy), June 2011.

- “Mathematical inequalities and applications”, Lahore (Pakistan), March 2010.

- “Optimal constants in the theory of Sobolev spaces and PDE's", Oberwolfach (Germany), February 2010

Andrea CIANCHI

Andrea CIANCHI

Andrea CIANCHI

Andrea CIANCHI

Andrea CIANCHI

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Andrea CIANCHI

Insegnamenti relativi all'Anno Accademico