Regularity estimates for fractional orthotropic $p$-Laplacians of mixed order
Analysis of PDEs
2022-02-16 v3
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.
Keywords
Cite
@article{arxiv.2104.07507,
title = {Regularity estimates for fractional orthotropic $p$-Laplacians of mixed order},
author = {Jamil Chaker and Minhyun Kim},
journal= {arXiv preprint arXiv:2104.07507},
year = {2022}
}
Comments
28 pages, 2 figures, slight modifications and corrections