C^(1,α) Interior Regularity for Nonlinear Nonlocal Elliptic Equations With Rough Kernels
classification
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keywords
regularitynonlinearalphaellipticequationsinteriorapplicationsassuming
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We prove a $C^{1,\alpha}$ interior regularity theorem for fully nonlinear uniformly elliptic integro-differential equations without assuming any regularity of the kernel. We then give some applications to linear theory and higher regularity of a special class of nonlinear operators.
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