Fully nonlinear integro-differential equations with deforming kernels
Rafayel Teymurazyan
University of Coimbra Portugal
Co-Author(s): L. Caffarelli, J.M. Urbano
Abstract:
We develop a regularity theory for integro-differential equations with kernels deforming in space like sections of a convex solution of a Monge-Amp\`ere equation. We prove an ABP estimate and derive regularity results for solutions.