Regularity for nonlocal problems with non-standard growth

Chaker, Jamil; Ki, Minhyun; Weidner, Marvin

Regularity for nonlocal problems with non-standard growth

Chaker J, Ki M, Weidner M (2022)
Calculus of Variations and Partial Differential Equations 61(6): 227.

Zeitschriftenaufsatz | Veröffentlicht | Englisch

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DOI

https://doi.org/10.1007/s00526-022-02364-8

URN

urn:nbn:de:0070-pub-29669655

Autor*in

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

Einrichtung

Fakultät für Mathematik

Abstract / Bemerkung

We study robust regularity estimates for local minimizers of nonlocal functionals with non-standard growth of (p, q)-type and for weak solutions to a related class of nonlocal equations. The main results of this paper are local boundedness and Holder continuity of minimizers and weak solutions. Our approach is based on the study of corresponding De Giorgi classes.

Stichworte

35B65; 47G20; 35D30; 35B45; 35A15

Erscheinungsjahr

2022

Zeitschriftentitel

Calculus of Variations and Partial Differential Equations

Band

Ausgabe

Art.-Nr.

227

Urheberrecht / Lizenzen

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

ISSN

0944-2669

eISSN

1432-0835

Finanzierungs-Informationen

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

Page URI

https://pub.uni-bielefeld.de/record/2966965

Zitieren

Chaker J, Ki M, Weidner M. Regularity for nonlocal problems with non-standard growth. Calculus of Variations and Partial Differential Equations . 2022;61(6): 227.

Chaker, J., Ki, M., & Weidner, M. (2022). Regularity for nonlocal problems with non-standard growth. Calculus of Variations and Partial Differential Equations , 61(6), 227. https://doi.org/10.1007/s00526-022-02364-8

Chaker, Jamil, Ki, Minhyun, and Weidner, Marvin. 2022. “Regularity for nonlocal problems with non-standard growth”. Calculus of Variations and Partial Differential Equations 61 (6): 227.

Chaker, J., Ki, M., and Weidner, M. (2022). Regularity for nonlocal problems with non-standard growth. Calculus of Variations and Partial Differential Equations 61:227.

Chaker, J., Ki, M., & Weidner, M., 2022. Regularity for nonlocal problems with non-standard growth. Calculus of Variations and Partial Differential Equations , 61(6): 227.

J. Chaker, M. Ki, and M. Weidner, “Regularity for nonlocal problems with non-standard growth”, Calculus of Variations and Partial Differential Equations , vol. 61, 2022, : 227.

Chaker, J., Ki, M., Weidner, M.: Regularity for nonlocal problems with non-standard growth. Calculus of Variations and Partial Differential Equations . 61, : 227 (2022).

Chaker, Jamil, Ki, Minhyun, and Weidner, Marvin. “Regularity for nonlocal problems with non-standard growth”. Calculus of Variations and Partial Differential Equations 61.6 (2022): 227.

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