Hölder Regularity For Integro-Differential Equations With Nonlinear Directional Dependence (1306.0082v1)

Published 1 Jun 2013 in math.AP and math.PR

Abstract: We prove H\"older 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.

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