%0 Journal Article
%T Regularity for anisotropic fully nonlinear integro-differential equations
%A Luis A. Caffarelli
%A Raimundo LeitŁżo
%A Jos¨¦ Miguel Urbano
%J Mathematics
%D 2013
%I arXiv
%X We consider fully nonlinear integro-differential equations governed by kernels that have different homogeneities in different directions. We prove a nonlocal version of the ABP estimate, a Harnack inequality and the interior $C^{1, \gamma}$ regularity, extending the results of [Caffarelli and Silvestre, CPAM 62, 2009] to the anisotropic case.
%U http://arxiv.org/abs/1311.0795v1