Harnack inequality for nonlocal problems with non-standard growth

Chaker J, Ki M, Weidner M (2022)
Mathematische Annalen .

Zeitschriftenaufsatz | E-Veröff. vor dem Druck | Englisch
 
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Abstract / Bemerkung
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.
Stichworte
35B65; 47G20; 35D30; 35B45; 35A15
Erscheinungsjahr
2022
Zeitschriftentitel
Mathematische Annalen
ISSN
0025-5831
eISSN
1432-1807
Page URI
https://pub.uni-bielefeld.de/record/2963007

Zitieren

Chaker J, Ki M, Weidner M. Harnack inequality for nonlocal problems with non-standard growth. Mathematische Annalen . 2022.
Chaker, J., Ki, M., & Weidner, M. (2022). Harnack inequality for nonlocal problems with non-standard growth. Mathematische Annalen . https://doi.org/10.1007/s00208-022-02405-9
Chaker, J., Ki, M., and Weidner, M. (2022). Harnack inequality for nonlocal problems with non-standard growth. Mathematische Annalen .
Chaker, J., Ki, M., & Weidner, M., 2022. Harnack inequality for nonlocal problems with non-standard growth. Mathematische Annalen .
J. Chaker, M. Ki, and M. Weidner, “Harnack inequality for nonlocal problems with non-standard growth”, Mathematische Annalen , 2022.
Chaker, J., Ki, M., Weidner, M.: Harnack inequality for nonlocal problems with non-standard growth. Mathematische Annalen . (2022).
Chaker, Jamil, Ki, Minhyun, and Weidner, Marvin. “Harnack inequality for nonlocal problems with non-standard growth”. Mathematische Annalen (2022).

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