Interior regularity for nonlocal fully nonlinear equations with Dini continuous terms

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 $C^{\sigma }$ regularity estimates for the nonlocal equations by perturbative methods and a version of a recursive Evans-Krylov theorem.

References in corpus (2)

• Regularity theory for fully nonlinear integro-differential equations
• $C^{\s+\a}$ estimates for concave, non-local parabolic equations with critical drift