Luis Caffarelli
TitleCited byYear
An extension problem related to the fractional Laplacian
L Caffarelli, L Silvestre
Communications in partial differential equations 32 (8), 1245-1260, 2007
17252007
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
14171982
Fully nonlinear elliptic equations
X Cabré, LA Caffarelli
American Mathematical Society, Colloquium Publication 43, 1995
12421995
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
9851989
First order interpolation inequalities with weights
L Caffarelli, R Kohn, L Nirenberg
Compositio Mathematica 53 (3), 259-275, 1984
9831984
Regularity of the obstacle problem for a fractional power of the Laplace operator
L Silvestre
Communications on Pure and Applied Mathematics: A Journal Issued by the …, 2007
7392007
The Dirichlet problem for nonlinear second order elliptic equations, III: Functions of the eigenvalues of the Hessian
L Caffarelli, L Nirenberg, J Spruck
Acta Mathematica 155 (1), 261-301, 1985
7311985
Existence and regularity for a minimum problem with free boundary
HW Alt, LA Caffarelli
Univ., Sonderforschungsbereich 123, 1980
6931980
Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
L Caffarelli, A Vasseur
arXiv preprint math/0608447, 2006
6252006
Elliptic partial differential equations
Q Han, F Lin
American Mathematical Soc., 2011
6192011
Interior a priori estimates for solutions of fully non-linear equations
LA Caffarelli
Annals of Mathematics 130 (1), 189-213, 1989
5631989
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
5201984
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
4261984
Regularity theory for fully nonlinear integro‐differential equations
L Caffarelli, L Silvestre
Communications on Pure and Applied Mathematics: A Journal Issued by the …, 2009
4222009
Interior W2, p Estimates for Solutions of the Monge-Ampere Equation
LA Caffarelli
Annals of Mathematics, 135-150, 1990
4211990
Progress in Nonlinear Differential Equations and Their Applications
H Brezis, A Ambrosetti, TA Bahri, F Browder, L Caffarelli, LC Evans, ...
3962005
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 (2), 425-461, 2008
3812008
On W1,p estimates for elliptic equations in divergence form
LA Caffarelli, I Peral
Communications on Pure and Applied Mathematics: A Journal Issued by the …, 1998
3771998
The regularity of free boundaries in higher dimensions
LA Caffarelli
Acta Mathematica 139 (1), 155-184, 1977
3571977
The regularity of mappings with a convex potential
LA Caffarelli
Journal of the American Mathematical Society 5 (1), 99-104, 1992
3511992
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Articles 1–20