Hölder Regularity For Integro-Differential Equations With Nonlinear Directional Dependence

Abstract

We prove Hölder regularity results for a class of nonlinear elliptic integro-differential operators with integration kernels whose ellipticity bounds are strongly directionally dependent. These results extend those in [9] and are also uniform as the order of operators approaches 2.

Cited by in corpus (1)

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