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1

Partial regularity of suitable weak solutions of the navier-stokes equations

L. Caffarelli, R. Kohn, L. Nirenberg

Journal:

Communications on Pure and Applied Mathematics

Year:

1982

Language:

english

File:

PDF, 1.82 MB

english, 1982

2

The Evans-Krylov theorem for nonlocal fully nonlinear equations

Caffarelli, Luis, Silvestre, Luis

Journal:

Annals of Mathematics

Year:

2011

Language:

english

File:

PDF, 436 KB

english, 2011

3

An Extension Problem Related to the Fractional Laplacian

Caffarelli, Luis, Silvestre, Luis

Journal:

Communications in Partial Differential Equations

Year:

2007

Language:

english

File:

PDF, 165 KB

english, 2007

4

Free boundaries in optimal transport and Monge-Ampère obstacle problems

Caffarelli, Luis, McCann, Robert

Journal:

Annals of Mathematics

Year:

2010

Language:

english

File:

PDF, 1.02 MB

english, 2010

5

Regularity theory for fully nonlinear integro-differential equations

Luis Caffarelli, Luis Silvestre

Journal:

Communications on Pure and Applied Mathematics

Year:

2009

Language:

english

File:

PDF, 312 KB

english, 2009

6

A Harnack inequality approach to the regularity of free boundaries part II: Flat free boundaries are Lipschitz

Luis A. Caffarelli

Journal:

Communications on Pure and Applied Mathematics

Year:

1989

Language:

english

File:

PDF, 690 KB

english, 1989

7

The Dirichlet problem for nonlinear second order elliptic equations, III: Functions of the eigenvalues of the Hessian

L. Caffarelli, L. Nirenberg, J. Spruck

Journal:

Acta Mathematica

Year:

1985

Language:

english

File:

PDF, 399 KB

english, 1985

8

The Blow-Up Boundary for Nonlinear Wave Equations

Luis A. Caffarelli and Avner Friedman

Journal:

Transactions of the American Mathematical Society

Year:

1986

Language:

english

File:

PDF, 1.36 MB

english, 1986

9

Interior a Priori Estimates for Solutions of Fully Non-Linear Equations

Luis A. Caffarelli

Journal:

Annals of Mathematics

Year:

1989

Language:

english

File:

PDF, 1.02 MB

english, 1989

10

A Localization Property of Viscosity Solutions to the Monge-Ampere Equation and their Strict Convexity

L. A. Caffarelli

Journal:

Annals of Mathematics

Year:

1990

Language:

english

File:

PDF, 305 KB

english, 1990

11

A Parabolic Problem with a Fractional Time Derivative

Allen, Mark, Caffarelli, Luis, Vasseur, Alexis

Journal:

Archive for Rational Mechanics and Analysis

Year:

2016

Language:

english

File:

PDF, 545 KB

english, 2016

12

Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth

Luis A. Caffarelli, Basilis Gidas, Joel Spruck

Journal:

Communications on Pure and Applied Mathematics

Year:

1989

Language:

english

File:

PDF, 862 KB

english, 1989

13

Partial regularity of the zero-set of solutions of linear and superlinear elliptic equations

Luis A Caffarelli, Avner Friedman

Journal:

Journal of Differential Equations

Year:

1985

Language:

english

File:

PDF, 500 KB

english, 1985

14

Elliptic second order equations

Luis Caffarelli

Journal:

Milan Journal of Mathematics

Year:

1988

Language:

english

File:

PDF, 1.01 MB

english, 1988

15

Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian

Luis A. Caffarelli, Sandro Salsa, Luis Silvestre

Journal:

Inventiones mathematicae

Year:

2008

Language:

english

File:

PDF, 428 KB

english, 2008

16

The De Giorgi method for regularity of solutions of elliptic equations and its applications to fluid dynamics

Caffarelli, Luis, Vasseur, Alexis

Journal:

Discrete and Continuous Dynamical Systems - Series S

Year:

2010

Language:

english

File:

PDF, 224 KB

english, 2010

17

Convexity properties of solutions to some classical variational problems

Caffarelli, Luis A., Spruck, Joel

Journal:

Communications in Partial Differential Equations

Year:

1982

Language:

english

File:

PDF, 893 KB

english, 1982

18

applications to unbounded domains I

Berestycki, H., Caffarelli, L. A., Nirenberg, L.

Journal:

Duke Mathematical Journal

Year:

1996

Language:

english

File:

PDF, 1.64 MB

english, 1996

19

Regularity of solutions to the parabolic fractional obstacle problem

Caffarelli, Luis, Figalli, Alessio

Journal:

Journal für die reine und angewandte Mathematik (Crelles Journal)

Year:

2013

Language:

english

File:

PDF, 375 KB

english, 2013

20

Some New Monotonicity Theorems with Applications to Free Boundary Problems

Luis A. Caffarelli, David Jerison and Carlos E. Kenig

Journal:

Annals of Mathematics

Year:

2002

Language:

english

File:

PDF, 2.29 MB

english, 2002

21

Regularity of a Free Boundary with Application to the Pompeiu Problem

Luis A. Caffarelli, Lavi Karp and Henrik Shahgholian

Journal:

Annals of Mathematics

Year:

2000

Language:

english

File:

PDF, 2.06 MB

english, 2000

22

On the Regularity of Reflector Antennas

Luis A. Caffarelli, Cristian E. Gutiérrez and Qingbo Huang

Journal:

Annals of Mathematics

Year:

2008

Language:

english

File:

PDF, 1.66 MB

english, 2008

23

Gradient Estimates for Variable Coefficient Parabolic Equations and Singular Perturbation Problems

Luis A. Caffarelli and Carlos E. Kenig

Journal:

American Journal of Mathematics

Year:

1998

Language:

english

File:

PDF, 3.39 MB

english, 1998

24

[Lecture Notes in Mathematics] Optimal Transportation and Applications Volume 1813 || Optimal transportation, dissipative PDE’s and functional inequalities

Ambrosio, Luigi, Caffarelli, Luis A., Brenier, Yann, Buttazzo, Giuseppe, Villani, Cedric, Salsa, Sandro

Year:

2003

Language:

english

File:

PDF, 339 KB

english, 2003

25

Bounds on the Green function for integral operators and fractional harmonic measure with applications to boundary Harnack

Caffarelli, Luis A., Sire, Yannick

Journal:

Proceedings of the American Mathematical Society

Year:

2017

Language:

english

File:

PDF, 189 KB

english, 2017

26

A constant rank theorem for solutions of fully nonlinear elliptic equations

Luis A. Caffarelli, Pengfei Guan, Xi-Nan Ma

Journal:

Communications on Pure and Applied Mathematics

Year:

2007

Language:

english

File:

PDF, 175 KB

english, 2007

27

The dirichlet problem for nonlinear second-order elliptic equations. II. Complex monge-ampère, and uniformaly elliptic, equations

L. Caffarelli, J. J. Kohn, L. Nirenberg, J. Spruck

Journal:

Communications on Pure and Applied Mathematics

Year:

1985

Language:

english

File:

PDF, 1.39 MB

english, 1985

28

Correction to: The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampere equation

L. Caffarelli, L. Nirenberg, J. Spruck

Journal:

Communications on Pure and Applied Mathematics

Year:

1987

Language:

english

File:

PDF, 117 KB

english, 1987

29

Some regularity properties of solutions of Monge Ampère equation

Luis A. Caffarelli

Journal:

Communications on Pure and Applied Mathematics

Year:

1991

Language:

english

File:

PDF, 171 KB

english, 1991

30

Boundary regularity of maps with convex potentials

Luis A. Caffarelli

Journal:

Communications on Pure and Applied Mathematics

Year:

1992

Language:

english

File:

PDF, 430 KB

english, 1992

31

Variational problems with free boundaries for the fractional Laplacian

Caffarelli, Luis, Roquejoffre, Jean-Michel, Sire, Yannick

Journal:

Journal of the European Mathematical Society

Year:

2010

Language:

english

File:

PDF, 266 KB

english, 2010

32

Boundary Regularity of Maps with Convex Potentials--II

Caffarelli, Luis A.

Journal:

Annals of Mathematics

Year:

1996

Language:

english

File:

PDF, 2.10 MB

english, 1996

33

Regularity of the Free Boundary for the One-Dimensional Flow of Gas in a Porous Medium

Caffarelli, Luis A., Friedman, Avner

Journal:

American Journal of Mathematics

Year:

1979

Language:

english

File:

PDF, 1.04 MB

english, 1979

34

Caloric Functions in Lipschitz Domains and the Regularity of Solutions to Phase Transition Problems

I. Athanasopoulos, L. Caffarelli and S. Salsa

Journal:

Annals of Mathematics

Year:

1996

Language:

english

File:

PDF, 1.25 MB

english, 1996

35

Interior W2, pEstimates for Solutions of the Monge-Ampere Equation

Luis A. Caffarelli

Journal:

Annals of Mathematics

Year:

1990

Language:

english

File:

PDF, 647 KB

english, 1990

36

Properties of the Solutions of the Linearized Monge-Ampère Equation

Luis A. Caffarelli and Cristian E. Gutiérrez

Journal:

American Journal of Mathematics

Year:

1997

Language:

english

File:

PDF, 2.26 MB

english, 1997

37

ON THE REGULARITY OF SOLUTIONS TO MONGE-AMPÈRE EQUATIONS ON HESSIAN MANIFOLDS

Caffarelli, Luis, Viaclovsky1*, Jeff

Journal:

Communications in Partial Differential Equations

Year:

2001

Language:

english

File:

PDF, 200 KB

english, 2001

38

Real Analysis Related to the Monge-Ampere Equation

Luis A. Caffarelli and Cristian E. Gutierrez

Journal:

Transactions of the American Mathematical Society

Year:

1996

Language:

english

File:

PDF, 1.17 MB

english, 1996

39

PRESENZA DELLO STILE TIBETANO IN ALCUNE CORRENTI ARCHITETTONICHE DELLA CINA CONTEMPORANEA

Paola Mortari Vergara Caffarelli

Journal:

Year:

1980

Language:

italian

File:

PDF, 7.06 MB

italian, 1980

40

Asymptotic estimates for the plasma problem

Caffarelli, Luis A., Friedman, Avner

Journal:

Duke Mathematical Journal

Year:

1980

Language:

english

File:

PDF, 1.71 MB

english, 1980

41

On viscosity solutions of fully nonlinear equations with measurable ingredients

L. Caffarelli, M. G. Crandall, M. Kocan, A. Święch

Journal:

Communications on Pure and Applied Mathematics

Year:

1996

Language:

english

File:

PDF, 1.29 MB

english, 1996

42

A note on nonlinear homogenization

L. A. Caffarelli

Journal:

Communications on Pure and Applied Mathematics

Year:

1999

Language:

english

File:

PDF, 288 KB

english, 1999

43

An extension to a theorem of Jörgens, Calabi, and Pogorelov

L. Caffarelli, YanYan Li

Journal:

Communications on Pure and Applied Mathematics

Year:

2003

Language:

english

File:

PDF, 293 KB

english, 2003

44

Nonlocal minimal surfaces

L. Caffarelli, J.-M. Roquejoffre, O. Savin

Journal:

Communications on Pure and Applied Mathematics

Year:

2010

Language:

english

File:

PDF, 249 KB

english, 2010

45

Nonlocal Tug-of-War and the Infinity Fractional Laplacian

Clayton Bjorland, Luis Caffarelli, Alessio Figalli

Journal:

Communications on Pure and Applied Mathematics

Year:

2012

Language:

english

File:

PDF, 367 KB

english, 2012

46

The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation

L. Caffarelli, L. Nirenberg, J. Spruck

Journal:

Communications on Pure and Applied Mathematics

Year:

1984

Language:

english

File:

PDF, 1.03 MB

english, 1984

47

A theorem of real analysis and its application to free boundary problems

Ioannis Athanasopoulos, Luis A. Caffarelli

Journal:

Communications on Pure and Applied Mathematics

Year:

1985

Language:

english

File:

PDF, 148 KB

english, 1985

48

A harnack inequality approach to the regularity of free boundaries

Luis A. Caffarelli

Journal:

Communications on Pure and Applied Mathematics

Year:

1986

Language:

english

File:

PDF, 195 KB

english, 1986

49

Nonlinear second-order elliptic equations V. The dirichlet problem for weingarten hypersurfaces

Luis Caffarelli, Louis Nirenberg, Joel Spruck

Journal:

Communications on Pure and Applied Mathematics

Year:

1988

Language:

english

File:

PDF, 704 KB

english, 1988

50

Uniform convergence of a singular perturbation problem

Luis A. Caffarelli, Antonio Córdoba

Journal:

Communications on Pure and Applied Mathematics

Year:

1995

Language:

english

File:

PDF, 355 KB

english, 1995

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