Dini estimates for nonlocal fully nonlinear elliptic equations

Published 26 Dec 2016 in math.AP | (1612.08310v1)

Abstract: We obtain Dini type estimates for a class of concave fully nonlinear nonlocal elliptic equations of order $\sigma\in (0,2)$ with rough and non-symmetric kernels. The proof is based on a novel application of Campanato's approach and a refined $C^{{\sigma+\alpha}$} estimate in [8].

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