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arXiv · 1306.0082

Hölder Regularity For Integro-Differential Equations With Nonlinear Directional Dependence

Marcus Rang·Moritz Kassmann·Russell W. Schwab
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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.

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Marcus Rang, Moritz Kassmann, Russell W. Schwab. 2013-06-01. Hölder Regularity For Integro-Differential Equations With Nonlinear Directional Dependence. https://arxiv.org/abs/1306.0082

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