Publications (36)
A non local Monge-Ampere equation
Luis Caffarelli, Luis Silvestre
A curvature flow in the plane with a nonlocal term
Luis Caffarelli, Hui Yu
On the asymptotic behavior of a Boltzmann-type price formation model
Martin Burger, Luis Caffarelli, Peter A. Markowich +1
Local analysis of solutions of fractional semi-linear elliptic equations with isolated singularities
Luis Caffarelli, Tianling Jin, Yannick Sire +1
Regularity properties of nonlocal minimal surfaces via limiting arguments
Luis Caffarelli, Enrico Valdinoci
Regularity of solutions of the fractional porous medium flow
Luis Caffarelli, Fernando Soria, Juan Luis Vazquez
Regularity results for nonlocal equations by approximation
Luis Caffarelli, Luis Silvestre
A Parabolic Problem with a Fractional-Time Derivative
Mark Allen, Luis Caffarelli, Alexis Vasseur
The Evans-Krylov theorem for non local fully non linear equations
Luis Caffarelli, Luis Silvestre
On the Evans-Krylov theorem
Luis Caffarelli, Luis Silvestre
Regularity estimates for the solution and the free boundary to the obstacle problem for the fractional Laplacian
Luis Caffarelli, Sandro Salsa, Luis Silvestre
Some multi-valued solutions to Monge-Ampere equations
Luis Caffarelli, YanYan Li
Two-phase anisotropic free boundary problems and applications to the Bellman equation in 2D
Luis Caffarelli, Daniela De Silva, Ovidiu Savin
An extension problem related to the fractional Laplacian
Luis Caffarelli, Luis Silvestre
Regularity theory for nonlinear integral operators
Luis Caffarelli, Chi Hin Chan, Alexis Vasseur
Minimization of a fractional perimeter-Dirichlet integral functional
Luis Caffarelli, Ovidiu Savin, Enrico Valdinoci
Regularity of solutions to the parabolic fractional obstacle problem
Luis Caffarelli, Alessio Figalli
Some remarks on singular solutions of nonlinear elliptic equations. I
Luis Caffarelli, YanYan Li, Louis Nirenberg
On a Class of Stochastic Differential Equations With Jumps and Its Properties
Ari Arapostathis, Anup Biswas, Luis Caffarelli
On the regularity of the Non-dynamic Parabolic Fractional Obstacle Problem
Ioannis Athanasopoulos, Luis Caffarelli, Emmanouil Milakis
Regularity of solutions of the fractional porous medium flow with exponent 1/2
Luis Caffarelli, Juan Luis Vázquez
The two membranes problem for fully nonlinear operators
Luis Caffarelli, Luis Duque, Hernan Vivas
Parabolic Obstacle Problems. Quasi-convexity and Regularity
Ioannis Athanasopoulos, Luis Caffarelli, Emmanouil Milakis
On a fractional Monge-Ampère operator
Luis Caffarelli, Fernando Charro
Porous Medium Flow with both a Fractional Potential Pressure and Fractional Time Derivative
Mark Allen, Luis Caffarelli, Alexis Vasseur
Interior regularity for fractional systems
Luis Caffarelli, Gonzalo Davila
Asymptotic behaviour of a porous medium equation with fractional diffusion
Luis Caffarelli, Juan Luis Vazquez
Non-Local Tug-of-War and the Infinity Fractional Laplacian
Clayton Bjorland, Luis Caffarelli, Alessio Figalli
Some remarks on singular solutions of nonlinear elliptic equations. III: viscosity solutions, including parabolic operators
Luis Caffarelli, YanYan Li, Louis Nirenberg
On a Boltzmann type price formation model
Martin Burger, Luis Caffarelli, Peter Markowich +1
Obstacle problems for integro-differential operators: Regularity of solutions and free boundaries
Luis Caffarelli, Xavier Ros-Oton, Joaquim Serra
A logistic equation with nonlocal interactions
Luis Caffarelli, Serena Dipierro, Enrico Valdinoci
[Regularity of interfaces for a Pucci type segregation problem
Luis Caffarelli, Stefania Patrizi, Veronica Quitalo +1
Ergodic control of a class of jump diffusions with finite Lévy measures and rough kernels
Ari Arapostathis, Luis Caffarelli, Guodong Pang +1
The leading edge of a free boundary interacting with a line of fast diusion
Luis Caffarelli, Jean-Michel Roquejoffre
Regularity theory for fully nonlinear integro-differential equations
Luis Caffarelli, Luis Silvestre