Giovanni Leoni

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Irene FonsecaCarnegie Mellon UniversityVerified email at andrew.cmu.edu
Massimiliano MoriniUniversità di ParmaVerified email at unipr.it
Nicola FuscoVerified email at virgilio.it
Guy BouchittéIMATH, Université du Sud-Toulon-VarVerified email at univ-tln.fr
Daniel SpectorNational Taiwan Normal UniversityVerified email at ntnu.edu.tw
Paolo CermelliUniversità di Torino, ItalyVerified email at unito.it
Marcello PonsiglioneProfessore di Analisi Matematica, Sapienza Universita' di RomaVerified email at mat.uniroma1.it
Adriana GarroniFull Professor, Sapienza, University of RomeVerified email at mat.uniroma1.it
Sergio ContiInstitute for applied mathematics, University of BonnVerified email at uni-bonn.de
Andrea BraidesProfessor of Mathematics, SISSA, Trieste and Università di Roma Tor VergataVerified email at mat.uniroma2.it
Ryan MurrayDepartment of mathematics, North Carolina State UniversityVerified email at ncsu.edu
Gilles FrancfortFlatiron InstituteVerified email at flatironinstitute.org
Virginia De CiccoProfessore di Analisi Matematica, Università di Roma "La Sapienza"Verified email at sbai.uniroma1.it
Marco MorandottiPolitecnico di TorinoVerified email at polito.it
Ian TiceCarnegie Mellon UniversityVerified email at andrew.cmu.edu
Vincent MillotUniversité Paris-Est Créteil (Paris 12)Verified email at u-pec.fr
Stefan MüllerProfessor of Mathematics, Hausdorff Center for Mathematics, Bonn UniversityVerified email at hcm.uni-bonn.de
Herbert KochProfessor for Mathematics, Bonn UniversityVerified email at math.uni-bonn.de
Graça CaritaUniversity of EvoraVerified email at uevora.pt
Maria Giovanna MoraUniversità di PaviaVerified email at unipv.it

Giovanni Leoni

Professor of Mathematics, Carnegie Mellon University

Verified email at andrew.cmu.edu - Homepage

Calculus of Variations Partial Differential Equations Materials Science


Title Sort by citations Sort by year Sort by title	Cited by Cited by	Year
A first course in Sobolev spaces G Leoni American Mathematical Society, 2024	1323	2024
Modern methods in the calculus of variations: L^ p spaces I Fonseca, G Leoni Springer Science & Business Media, 2007	703	2007
A global method for relaxation G Bouchitté, I Fonseca, L Mascarenhas Archive for rational mechanics and analysis 145 (1), 51-98, 1998	178	1998
Gradient theory for plasticity via homogenization of discrete dislocations A Garroni, G Leoni, M Ponsiglione J. Eur. Math. Soc.(JEMS) 12 (5), 1231-1266, 2010	150	2010
A-quasiconvexity: relaxation and homogenization A Braides, I Fonseca, G Leoni ESAIM: Control, Optimisation and Calculus of Variations 5, 539-577, 2000	120	2000
A global method for relaxation in W1, p and in SBVp G Bouchitté, I Fonseca, G Leoni, L Mascarenhas Archive for rational mechanics and analysis 165 (3), 187-242, 2002	116	2002
Characterization of Sobolev and BV spaces G Leoni, D Spector Journal of Functional Analysis 261 (10), 2926-2958, 2011	96	2011
A Gamma-convergence result for the two-gradient theory of phase transitions S Conti, I Fonseca, G Leoni	93	2001
Equilibrium configurations of epitaxially strained crystalline films: existence and regularity results I Fonseca, N Fusco, G Leoni, M Morini Archive for rational mechanics and analysis 186, 477-537, 2007	79	2007
Renormalized energy and forces on dislocations P Cermelli, G Leoni SIAM journal on mathematical analysis 37 (4), 1131-1160, 2005	74	2005
A higher order model for image restoration: the one-dimensional case GD Maso, I Fonseca, G Leoni, M Morini SIAM Journal on Mathematical Analysis 40 (6), 2351-2391, 2009	63	2009
On lower semicontinuity and relaxation I Fonseca, G Leoni Proceedings of the Royal Society of Edinburgh Section A: Mathematics 131 (3 …, 2001	51	2001
Necessary and sufficient conditions for the chain rule in and G Leoni, M Morini Journal of the European Mathematical Society 9 (2), 219-252, 2007	48	2007
A Very Singular Solution for the Porous Media Equation ut= Δ (um)− u pWhen 0< m< 1 G Leoni journal of differential equations 132 (2), 353-376, 1996	48	1996
A first course in fractional Sobolev spaces G Leoni American Mathematical Society, 2023	42	2023
A first course in Sobolev spaces, volume 181 of G Leoni Graduate Studies in Mathematics 2, 2017	42	2017
Material voids in elastic solids with anisotropic surface energies I Fonseca, N Fusco, G Leoni, V Millot Journal de mathematiques pures et appliquees 96 (6), 591-639, 2011	41	2011
A-quasiconvexity: weak-star convergence and the gap I Fonseca, G Leoni, S Müller Annales de l'Institut Henri Poincaré C, Analyse non linéaire 21 (2), 209-236, 2004	41	2004
On optimal regularity of free boundary problems and a conjecture of De Giorgi H Koch, G Leoni, M Morini Communications on Pure and Applied Mathematics: A Journal Issued by the …, 2005	38	2005
Weak continuity and lower semicontinuity results for determinants I Fonseca, G Leoni, J Malý Archive for rational mechanics and analysis 178, 411-448, 2005	37	2005

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