Interior regularity for nonlocal fully nonlinear equations with Dini continuous terms

preprint2015arXivOpen access

Abstract

This paper is concerned with interior regularity of viscosity solutions of non-translation invariant nonlocal fully nonlinear equations with Dini continuous terms. We obtain CσC^σ regularity estimates for the nonlocal equations by perturbative methods and a version of a recursive Evans-Krylov theorem.

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