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arxiv: 1405.0758 · v3 · pith:4TPEE24Onew · submitted 2014-05-05 · 🧮 math.AP

Schauder estimates for nonlocal fully nonlinear equations

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keywords equationsfullynonlinearnonlocalestimatesschauderargumentselliptic
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In this paper, we establish pointwise Schauder estimates for solutions of nonlocal fully nonlinear elliptic equations by perturbative arguments. A key ingredient is a recursive Evans-Krylov theorem for nonlocal fully nonlinear translation invariant equations.

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