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Regularity estimates for fractional orthotropic p-Laplacians of mixed orderopen access
- Authors
- Chaker, Jamil; Kim, Minhyun
- Issue Date
- Mar-2022
- Publisher
- WALTER DE GRUYTER GMBH
- Keywords
- nonlocal operators; divergence form; regularity theory; anisotropic measures; weak Harnack inequality
- Citation
- ADVANCES IN NONLINEAR ANALYSIS, v.11, no.1, pp.1307 - 1331
- Indexed
- SCIE
SCOPUS
- Journal Title
- ADVANCES IN NONLINEAR ANALYSIS
- Volume
- 11
- Number
- 1
- Start Page
- 1307
- End Page
- 1331
- ISSN
- 2191-9496
- 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 Holder estimate.
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Related Researcher
- Kim, Minhyun
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)