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arxiv: 1612.08310 · v1 · pith:NXA5XBZZnew · submitted 2016-12-26 · 🧮 math.AP

Dini estimates for nonlocal fully nonlinear elliptic equations

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keywords diniellipticequationsestimatesfullynonlinearnonlocalsigma
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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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