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.

引用

页数：8

共 50 条

[31] On a p(x)-Biharmonic Singular Problem With Changing Sign Weight and With No-Flux Boundary Condition
Chamlal, Ibrahim
Talbi, Mohamed
Tsouli, Najib
Filali, Mohammed
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2024, 42
[32] The fibering map approach to a nonlocal problem involving p(x)-Laplacian
Zhou, Qing-Mei
Ge, Bin
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2018, 75 (02) : 632 - 642
[33] Three solutions for a differential inclusion problem involving the p(x)-Laplacian
Dai, Guowei
Liu, Wulong
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (11) : 5318 - 5326
[34] A parabolic problem involving p(x)-Laplacian, a power and a singular nonlinearity
Panda, Akasmika
Choudhuri, Debajyoti
Saoudi, Kamel
JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS, 2024, 10 (02) : 1153 - 1186
[35] On a p(x)-biharmonic singular coefficients problem with no-flux boundary condition
Chamlal, Ibrahim
Talbi, Mohamed
Tsouli, Najib
Filali, Mohammed
JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS, 2023, 9 (01) : 549 - 564
[36] ON SUPERLINEAR p(x)-LAPLACIAN-LIKE PROBLEM WITHOUT AMBROSETTI AND RABINOWITZ CONDITION
Bin, Ge
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2014, 51 (02) : 409 - 421
[37] Weak Solutions for Double Phase Problem Driven by the (p(x), q(x))-Laplacian Operator Under Dirichlet Boundary Conditions
El Ouaarabi, Mohamed
Allalou, Chakir
Melliani, Said
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2023, 41 : 19 - 19
[38] Multiple Solutions for a p(x)-Laplacian-Like Problem with Neumann Boundary Conditions
Kefi, K.
UKRAINIAN MATHEMATICAL JOURNAL, 2025, 76 (08) : 1313 - 1323
[39] SUB-SUPER SOLUTION METHOD FOR NONLOCAL SYSTEMS INVOLVING THE p(x)-LAPLACIAN OPERATOR
Dos Santos, Gelson C. G.
Figueiredo, Giovany M.
Tavares, Leandro S.
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2020,
[40] Multiple solutions to a class of p(x)-biharmonic differential inclusion problem with no-flux boundary condition
Zhou, Qing-Mei
Wang, Ke-Qi
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2018, 112 (04) : 1549 - 1565

← 1 2 3 4 5 →