Luis Caffarelli, Luis Silvestre
Published 2009-02-23, updated 2010-03-30Version 2
In this paper we prove a nonlocal version of the Cordes-Niremberg estimates. We use it to extend our previous regularity results for fully nonlinear integro-differential equations to the variable coefficient case and several other settings where the equation can be thought of as a perturbation of the translation invariant case.
Fully nonlinear integro-differential equations with deforming kernels
Approximation of the spectrum of a manifold by discretization
Profile of solutions for nonlocal equations with critical and supercritical nonlinearities
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