Hölder continuity for the solutions of the p(x)-Laplace equation
with general right-hand side

Lyaghfouri, Abdeslem

doi:10.3336/gm.57.1.03

Glasnik matematički, Vol. 57 No. 1, 2022.

Izvorni znanstveni članak

https://doi.org/10.3336/gm.57.1.03

Hölder continuity for the solutions of the p(x)-Laplace equation with general right-hand side

Abdeslem Lyaghfouri orcid.org/0000-0002-0957-9675 ; Department of Mathematical Sciences, United Arab Emirates University, Al Ain, Abu Dhabi, UAE

Puni tekst: engleski pdf 143 Kb

str. 35-47

preuzimanja: 131

citiraj

APA 6th Edition

Lyaghfouri, A. (2022). Hölder continuity for the solutions of the p(x)-Laplace equation with general right-hand side. Glasnik matematički, 57 (1), 35-47. https://doi.org/10.3336/gm.57.1.03

MLA 8th Edition

Lyaghfouri, Abdeslem. "Hölder continuity for the solutions of the p(x)-Laplace equation with general right-hand side." Glasnik matematički, vol. 57, br. 1, 2022, str. 35-47. https://doi.org/10.3336/gm.57.1.03. Citirano 08.05.2024.

Chicago 17th Edition

Lyaghfouri, Abdeslem. "Hölder continuity for the solutions of the p(x)-Laplace equation with general right-hand side." Glasnik matematički 57, br. 1 (2022): 35-47. https://doi.org/10.3336/gm.57.1.03

Harvard

Lyaghfouri, A. (2022). 'Hölder continuity for the solutions of the p(x)-Laplace equation with general right-hand side', Glasnik matematički, 57(1), str. 35-47. https://doi.org/10.3336/gm.57.1.03

Vancouver

Lyaghfouri A. Hölder continuity for the solutions of the p(x)-Laplace equation with general right-hand side. Glasnik matematički [Internet]. 2022 [pristupljeno 08.05.2024.];57(1):35-47. https://doi.org/10.3336/gm.57.1.03

IEEE

A. Lyaghfouri, "Hölder continuity for the solutions of the p(x)-Laplace equation with general right-hand side", Glasnik matematički, vol.57, br. 1, str. 35-47, 2022. [Online]. https://doi.org/10.3336/gm.57.1.03

Preuzmi JATS datoteku

Sažetak

We show that bounded solutions of the quasilinear elliptic equation
\(\Delta_{p(x)} u=g+div(\textbf{F})\) are locally Hölder continuous
provided that the functions \(g\) and \(\textbf{F}\) are in suitable
Lebesgue spaces.

Ključne riječi

\(p(x)\)-Laplacian, Hölder continuity

Hrčak ID:

279798

URI

https://hrcak.srce.hr/279798

Datum izdavanja:

28.6.2022.

Posjeta: 323 *

Podaci o članku

Publication date: 30 June 2022

Volume: Vol 57

Issue: Svezak 1

Pages: 35-47

DOI: https://doi.org/10.3336/gm.57.1.03

Article Information (continued)

Categories:

Subject: Izvorni znanstveni članak

Keywords:

Keyword: \(p(x)\)-Laplacian, Hölder continuity

Hölder continuity for the solutions of the p(x)-Laplace equation with general right-hand side

Abdeslem Lyaghfouri[1]

Email: a.lyaghfouri@uaeu.ac.ae

[1] Department of Mathematical Sciences, United Arab Emirates University, Al Ain, Abu Dhabi, UAE

Abstract

We show that bounded solutions of the quasilinear elliptic equation \(\Delta_{p(x)} u=g+div(\textbf{F})\) are locally Hölder continuous provided that the functions \(g\) and \(\textbf{F}\) are in suitable Lebesgue spaces.

This display is generated from NISO JATS XML with jats-html.xsl. The XSLT engine is libxslt.

Prijava i registracija