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Harnack inequality for nonlocal problems with non-standard growthopen access
- Authors
- Chaker, Jamil; Kim, Minhyun; Weidner, Marvin
- Issue Date
- Jun-2023
- Publisher
- SPRINGER HEIDELBERG
- Keywords
- 35B65; 47G20; 35D30; 35B45; 35A15
- Citation
- MATHEMATISCHE ANNALEN, v.386, no.1-2, pp.533 - 550
- Indexed
- SCIE
SCOPUS
- Journal Title
- MATHEMATISCHE ANNALEN
- Volume
- 386
- Number
- 1-2
- Start Page
- 533
- End Page
- 550
- ISSN
- 0025-5831
- Abstract
- We prove a full Harnack inequality for local minimizers, as well as weak solutions to nonlocal problems with non-standard growth. The main auxiliary results are local boundedness and a weak Harnack inequality for functions in a corresponding De Giorgi class. This paper builds upon a recent work on regularity estimates for such nonlocal problems by the same authors.
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Related Researcher
- Kim, Minhyun
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)