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

被引：1
|
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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