Journal
ADVANCES IN NONLINEAR ANALYSIS
Volume 11, Issue 1, Pages 1307-1331Publisher
WALTER DE GRUYTER GMBH
DOI: 10.1515/anona-2022-0243
Keywords
nonlocal operators; divergence form; regularity theory; anisotropic measures; weak Harnack inequality
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Funding
- Deutsche Forschungsgemeinschaft [GRK 2235/2 2021 -282638148]
- [SFB 1283/2 2021 -317210226]
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We study the 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 Holder estimate.
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 Holder estimate.
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