Luis Caffarelli

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Avner Friedmanohio state universityVerified email at osu.edu
Luis SilvestreProfessor of Mathematics, University of ChicagoVerified email at math.uchicago.edu
Joel SpruckEmeritus Professor of Mathematics, Johns Hopkins UniversityVerified email at math.jhu.edu
Luigi AmbrosioScuola Normale Superiore, PisaVerified email at sns.it
Ioannis AthanasopoulosUniversity of CreteVerified email at math.uoc.gr
Michael Crandallprofessor of mathematics emeritus, university of california, santa barbaraVerified email at math.ucsb.edu
Robert V. KohnCourant Institute of Mathematical Sciences, NYUVerified email at cims.nyu.edu
Xavier CabreICREA Research Professor at the UPC (Barcelona)Verified email at upc.edu
Juan Luis VazquezEmeritus Professor of Mathematics, Universidad Autonoma de Madrid, SpainVerified email at uam.es
Henri BerestyckiProfessor, EHESSVerified email at ehess.fr
Yann Brenierdirecteur de recherches CNRS, LMO, Université Paris-SaclayVerified email at universite-paris-saclay.fr
Noemi WolanskiProfesor de Matematica UBAVerified email at dm.uba.ar
Peter MarkowichKAUSTVerified email at kaust.edu.sa
Fanghua LinProfessor of Mathematics, Courant Institute, New York UniversityVerified email at nyu.edu
YanYan LiProfessor of Mathematics, Rutgers UniversityVerified email at math.rutgers.edu
Robert McCannCanada Research Chair at the University of TorontoVerified email at math.toronto.edu
Alessio FigalliETH ZurichVerified email at math.ethz.ch
Cristian E. GutierrezProfessor of Mathematics, Temple UniversityVerified email at temple.edu
Mario MilmanHonorary member, Instituto Argentino de MatematicaVerified email at fau.edu
Lihe WangThe University of IowaVerified email at uiowa.edu

Luis Caffarelli

university of texas at austin

Verified email at math.utexas.edu - Homepage

partial differential equations geometry probability harmonic analysis continuum mechanics


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An extension problem related to the fractional Laplacian L Caffarelli, L Silvestre Communications in partial differential equations 32 (8), 1245-1260, 2007	3011	2007
Partial regularity of suitable weak solutions of the Navier‐Stokes equations L Caffarelli, R Kohn, L Nirenberg Communications on pure and applied mathematics 35 (6), 771-831, 1982	1875	1982
Fully nonlinear elliptic equations LA Caffarelli, X Cabré American Mathematical Soc., 1995	1872	1995
Asymptotic symmetry and local behavior of semilinear elliptic equations with critical Sobolev growth LA Caffarelli, B Gidas, J Spruck Communications on Pure and Applied Mathematics 42 (3), 271-297, 1989	1388	1989
First order interpolation inequalities with weights L Caffarelli, R Kohn, L Nirenberg Compositio Mathematica 53 (3), 259-275, 1984	1289	1984
The Dirichlet problem for nonlinear second order elliptic equations, III: Functions of the eigenvalues of the Hessian L Caffarelli, L Nirenberg, J Spruck	1090	1985
Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation LA Caffarelli, A Vasseur Annals of Mathematics, 1903-1930, 2010	980	2010
Existence and regularity for a minimum problem with free boundary. LA Caffarelli, HW Alt Walter de Gruyter, Berlin/New York 1981 (325), 105-144, 1981	964	1981
Interior a priori estimates for solutions of fully non-linear equations LA Caffarelli Annals of Mathematics 130 (1), 189-213, 1989	773	1989
The dirichlet problem for nonlinear second‐order elliptic equations I. Monge‐ampégre equation L Caffarelli, L Nirenberg, J Spruck Communications on pure and applied mathematics 37 (3), 369-402, 1984	713	1984
Regularity theory for fully nonlinear integro‐differential equations L Caffarelli, L Silvestre Communications on Pure and Applied Mathematics: A Journal Issued by the …, 2009	651	2009
Interior W 2, p estimates for solutions of the Monge-Ampere equation LA Caffarelli Annals of Mathematics 131 (1), 135-150, 1990	609	1990
Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian LA Caffarelli, S Salsa, L Silvestre Inventiones mathematicae 171, 425-461, 2008	569	2008
Progress in Nonlinear Differential Equations and Their Applications H Brezis, A Ambrosetti, TA Bahri, F Browder, L Caffarelli, LC Evans, ...	565	2005
Variational problems with two phases and their free boundaries HW Alt, LA Caffarelli, A Friedman Transactions of the American Mathematical Society 282 (2), 431-461, 1984	553	1984
On W^1,p estimates for elliptic equations in divergence form LA Caffarelli, I Peral Communications on Pure and Applied Mathematics: A Journal Issued by the …, 1998	527	1998
The regularity of mappings with a convex potential LA Caffarelli Journal of the American Mathematical Society 5 (1), 99-104, 1992	509	1992
The regularity of free boundaries in higher dimensions LA Caffarelli	506	1977
A geometric approach to free boundary problems LA Caffarelli, S Salsa American Mathematical Soc., 2005	487	2005
The obstacle problem revisited LA Caffarelli Journal of Fourier Analysis and Applications 4 (4), 383-402, 1998	486	1998

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