Fully nonlinear integro-differential equations with deforming kernels

2018/09/18 by Caffarelli, Luis, Teymurazyan, Rafayel, Urbano, José Miguel · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1809.06821

Abstract

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 estimate and a Harnack inequality and derive Hölder and C^1,α regularity results for solutions.

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• Some remarks on Campanato Theorem and the Anisotropic Bessel Spaces

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