Harnack inequality for nonlocal problems with non-standard growth

Chaker, Jamil; Ki, Minhyun; Weidner, Marvin

Harnack inequality for nonlocal problems with non-standard growth

Chaker J, Ki M, Weidner M (2022)
Mathematische Annalen 386: 533–550 .

Zeitschriftenaufsatz | E-Veröff. vor dem Druck | Englisch

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DOI

https://doi.org/10.1007/s00208-022-02405-9

URN

urn:nbn:de:0070-pub-29630077

Autor*in

Chaker, Jamil^UniBi; Ki, Minhyun^UniBi; Weidner, Marvin^UniBi

Einrichtung

Fakultät für Mathematik

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

Band

386

Seite(n)

533–550

Urheberrecht / Lizenzen

Creative Commons Namensnennung 4.0 International Public License (CC-BY 4.0)

ISSN

0025-5831

eISSN

1432-1807

Finanzierungs-Informationen

Open-Access-Publikationskosten wurden durch die Universität Bielefeld im Rahmen des DEAL-Vertrags gefördert.

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;386:533–550 .

Chaker, J., Ki, M., & Weidner, M. (2022). Harnack inequality for nonlocal problems with non-standard growth. Mathematische Annalen , 386, 533–550 . https://doi.org/10.1007/s00208-022-02405-9

Chaker, Jamil, Ki, Minhyun, and Weidner, Marvin. 2022. “Harnack inequality for nonlocal problems with non-standard growth”. Mathematische Annalen 386: 533–550 .

Chaker, J., Ki, M., and Weidner, M. (2022). Harnack inequality for nonlocal problems with non-standard growth. Mathematische Annalen 386, 533–550 .

Chaker, J., Ki, M., & Weidner, M., 2022. Harnack inequality for nonlocal problems with non-standard growth. Mathematische Annalen , 386, p 533–550 .

J. Chaker, M. Ki, and M. Weidner, “Harnack inequality for nonlocal problems with non-standard growth”, Mathematische Annalen , vol. 386, 2022, pp. 533–550 .

Chaker, J., Ki, M., Weidner, M.: Harnack inequality for nonlocal problems with non-standard growth. Mathematische Annalen . 386, 533–550 (2022).

Chaker, Jamil, Ki, Minhyun, and Weidner, Marvin. “Harnack inequality for nonlocal problems with non-standard growth”. Mathematische Annalen 386 (2022): 533–550 .

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