Giovanni Alberti

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Luigi AmbrosioScuola Normale Superiore, PisaVerified email at sns.it
Guy BouchittéIMATH, Université du Sud-Toulon-VarVerified email at univ-tln.fr
Pierre SeppecherIMATH Université de ToulonVerified email at imath.fr
Antonio DeSimoneSISSA-International School for Advanced Studies, TriesteVerified email at sissa.it
Rustum ChoksiProfessor, McGill UniversityVerified email at math.mcgill.ca
Xavier CabreICREA Research Professor at the UPC (Barcelona)Verified email at upc.edu
Stefan MüllerProfessor of Mathematics, Hausdorff Center for Mathematics, Bonn UniversityVerified email at hcm.uni-bonn.de
Giuseppe ButtazzoUniversità di PisaVerified email at dm.unipi.it
Carlo MantegazzaMath. Dept. Univ. Naples Federico II & Scuola Superiore Meridionale - Full ProfessorVerified email at unina.it
marzio cassandroprofessor of theoretical physicsVerified email at roma1.infn.it
Andrea MarcheseUniversity of TrentoVerified email at unitn.it
Francesco Serra CassanoProfessore di Analisi Matematica, Università di TrentoVerified email at science.unitn.it
Laura CaravennaAssociate Professor, Università di PadovaVerified email at unipd.it
Annalisa MassaccesiUniversità di PadovaVerified email at unipd.it
Eugene StepanovSt. Petersburg Branch of the Steklov Mathematical InstituteVerified email at pdmi.ras.ru
Miklos LaczkovichDepartment of Analysis, Eotvos Lorand University, BudapestVerified email at cs.elte.hu
Serena Guarino Lo BiancoUniversità di Napoli "Federico II"Verified email at unina.it
Edouard OudetUniversité Grenoble AlpesVerified email at imag.fr
Erwin RieglerETH ZurichVerified email at nari.ee.ethz.ch
Helmut BölcskeiProfessor of Mathematical Information Science, ETH ZurichVerified email at ethz.ch

Giovanni Alberti

Department of Mathematics, University of Pisa

Verified email at dm.unipi.it - Homepage

mathematical analysis


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On a long-standing conjecture of E. De Giorgi: symmetry in 3D for general nonlinearities and a local minimality property G Alberti, L Ambrosio, X Cabré Acta Applicandae Mathematica 65, 9-33, 2001	245	2001
Rank one property for derivatives of functions with bounded variation G Alberti Proceedings of the Royal Society of Edinburgh Section A: Mathematics 123 (2 …, 1993	227	1993
A geometrical approach to monotone functions in R^n G Alberti, L Ambrosio Mathematische Zeitschrift 230 (2), 259-316, 1999	226	1999
Variational models for phase transitions, an approach via Γ-convergence L Ambrosio, N Dancer, G Alberti Calculus of variations and partial differential equations: topics on …, 2000	191	2000
A non-local anisotropic model for phase transitions: asymptotic behaviour of rescaled energies G Alberti, G Bellettini European Journal of Applied Mathematics 9 (3), 261-284, 1998	187	1998
A nonlocal anisotropic model for phase transitions G Alberti, G Bellettini Mathematische Annalen 310 (3), 527-560, 1998	186	1998
Phase transition with the line‐tension effect G Alberti, G Bouchitté, P Seppecher Archive for rational mechanics and analysis 144, 1-46, 1998	184	1998
Variational convergence for functionals of Ginzburg-Landau type G Alberti, S Baldo, G Orlandi Indiana University mathematics journal, 1411-1472, 2005	169	2005
Uniform energy distribution for an isoperimetric problem with long-range interactions G Alberti, R Choksi, F Otto Journal of the American Mathematical Society 22 (2), 569-605, 2009	151	2009
The calibration method for the Mumford-Shah functional and free-discontinuity problems G Alberti, G Bouchitté, G Dal Maso Calculus of Variations and Partial Differential Equations 16, 299-333, 2003	145	2003
On the singularities of convex functions G Alberti, L Ambrosio, P Cannarsa Manuscripta Math 76 (3-4), 421-435, 1992	142	1992
A new approach to variational problems with multiple scales G Alberti, S Müller Communications on Pure and Applied Mathematics: A Journal Issued by the …, 2001	137	2001
A Lusin type theorem for gradients G Alberti Journal of Functional Analysis 100 (1), 110-118, 1991	127	1991
Surface tension in Ising systems with Kac potentials G Alberti, G Bellettini, M Cassandro, E Presutti Journal of statistical physics 82, 743-796, 1996	115	1996
On the structure of singular sets of convex functions G Alberti Calculus of Variations and Partial Differential Equations 2, 17-27, 1994	107	1994
Exponential self-similar mixing by incompressible flows G Alberti, G Crippa, A Mazzucato Journal of the American Mathematical Society 32 (2), 445-490, 2019	100	2019
Wetting of rough surfaces: a homogenization approach G Alberti, A DeSimone Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2005	99	2005
Functions with prescribed singularities G Alberti, S Baldo, G Orlandi Journal of the European Mathematical Society 5 (3), 275-311, 2003	99	2003
Structure of level sets and Sard-type properties of Lipschitz maps G Alberti, S Bianchini, G Crippa Annali della Scuola Normale Superiore di Pisa-Classe di Scienze 12 (4), 863-902, 2013	95	2013
A uniqueness result for the continuity equation in two dimensions G Alberti, S Bianchini, G Crippa Journal of the European Mathematical Society 16 (2), 201-234, 2014	76	2014

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