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arXiv · 2104.07507

Regularity estimates for fractional orthotropic $p$-Laplacians of mixed order

Jamil Chaker·Minhyun Kim
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Abstract

We study robust regularity estimates for a class of nonlinear integro-differential operators with anisotropic and singular kernels. In this paper, we prove a Sobolev-type inequality, a weak Harnack inequality, and a local H\"older estimate.

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Jamil Chaker, Minhyun Kim. 2021-04-15. Regularity estimates for fractional orthotropic $p$-Laplacians of mixed order. https://doi.org/10.1515/anona-2022-0243

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