J. M. Urbano

activity

20082026

C^{p^{'}}

-regularity conjecture in the plane

47 citations · 128 across the 30 of their papers we have counts for

collaborators

Showing 2018Show all

2 papers · 1 filter

math.AP2018

On a two-phase free boundary problem ruled by the infinity Laplacian

Damião J. Araújo, Eduardo Teixeira, José Miguel Urbano

In this paper we consider a two-phase free boundary problem ruled by the infinity Laplacian. Our main result states that bounded viscosity solutions in $B_{1}$ are universally Lipsch…

math.AP2018

Fully nonlinear integro-differential equations with deforming kernels

Luis Caffarelli, Rafayel Teymurazyan, José Miguel Urbano

We develop a regularity theory for integro-differential equations with kernels deforming in space like sections of a convex solution of a Monge-Ampère equation. We prove an ABP est…