%0 Journal Article
%T Regularity in a one-phase free boundary problem for the fractional Laplacian
%A Daniela De Silva
%A Jean-Michel Roquejoffre
%J Mathematics
%D 2011
%I arXiv
%X For a one-phase free boundary problem involving a fractional Laplacian, we prove that "flat free boundaries" are $C^{1,\alpha}$. We recover the regularity results of Caffarelli for viscosity solutions of the classical Bernoulli-type free boundary problem with the standard Laplacian.
%U http://arxiv.org/abs/1102.3086v2