Triple weak solution for <i>p</i>(<i>x</i>)-Laplacian like problem involving no flux boundary condition-Reference-Cited by-同舟云学术

Triple weak solution for p(x)-Laplacian like problem involving no flux boundary condition

Published:2024-08-03 Issue: Volume: Page:
ISSN:1072-947X
Container-title:Georgian Mathematical Journal
language:en
Short-container-title:

Author:

Kefi Khaled¹,Chung Nguyen Thanh²,Abdelfattah Walid³

Affiliation:

1. Faculty of Computing and Information Technology , Northern Border University , Arar , Kingdom of Saudi Arabia

2. Department of Mathematics , Quang Binh University , 312 Ly Thuong Kiet , Dong Hoi , Quang Binh , Vietnam

3. Faculty of Arts and Science of Rfha , Northern Border University , Arar , Kingdom of Saudi Arabia

Abstract

Abstract In this paper, we consider a class of p ⁢ ( x )

{p(x)}

-Laplacian like problems with indefinite weight involving no flux boundary condition. Using variational techniques and the critical point theorem of Bonanno and Marano [4], we prove the existence of at least three weak solutions to the problem in Sobolev variable exponent spaces.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/gmj-2024-2043/pdf

Reference21 articles.

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