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

被引：0

作者：

Kefi, Khaled ^{[1
]}

Chung, Nguyen Thanh ^{[2
]}

Abdelfattah, Walid ^{[3
]}

机构：

[1] Northern Border Univ, Fac Comp & Informat Technol, Ar Ar, Saudi Arabia

[2] Quang Binh Univ, Dept Math, 312 Ly Thuong Kiet, Dong Hoi, Quang Binh, Vietnam

[3] Northern Border Univ, Fac Arts & Sci Rfha, Ar Ar, Saudi Arabia

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2024年

关键词：

no flux boundary condition; critical point theorem; generalized Sobolev space; p(x)-Laplacian like problem; VARIABLE EXPONENT; EXISTENCE; MULTIPLICITY;

D O I：

10.1515/gmj-2024-2043

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider a class of 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.

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页数：8

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