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arxiv: 1510.04987 · v2 · pith:QS5RXB7Bnew · submitted 2015-10-16 · 🧮 math.AP

Interior regularity for nonlocal fully nonlinear equations with Dini continuous terms

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keywords equationsnonlocalregularitycontinuousdinifullyinteriornonlinear
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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.

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