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Dini estimates for nonlocal fully nonlinear elliptic equations

Authors:	Hongjie Dong Hong Zhang

Affiliation:	Division of Applied Mathematics, Brown University, 182 George Street, Providence, RI 02912, USA

Abstract:	We obtain Dini type estimates for a class of concave fully nonlinear nonlocal elliptic equations of order $σ \in (0, 2)$ with rough and non-symmetric kernels. The proof is based on a novel application of Campanato's approach and a refined $C^{σ + α}$ estimate in [9].

Keywords:	Nonlocal fully nonlinear elliptic equations Dini type estimates A priori estimates
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