Existence of weak solutions for a p-Laplacian problem involving Dirichlet boundary condition

被引：5

作者：

Dong, Wei ^{[1
]}

Xu, Jiafa ^{[2
]}

机构：

[1] Hebei Univ Engn, Dept Math, Handan 056038, Hebei, Peoples R China

[2] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 248卷

关键词：

Dirichlet boundary value problem; p-Laplacian; Topological degree theory; Critical point theory; Weak solution; EQUATIONS;

D O I：

10.1016/j.amc.2014.09.107

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, by virtue of topological degree theory and critical point theory, we are mainly concerned with the existence of weak solutions for a Dirichlet boundary value problem with the p-Laplacian operator. (C) 2014 Published by Elsevier Inc.

引用

页码：511 / 518

页数：8

共 50 条

[1] EXISTENCE OF WEAK SOLUTIONS TO A p-LAPLACIAN PROBLEM INVOLVING DIRICHLET BOUNDARY CONDITION
Keyu Zhang
Jianguo Wang
[J]. Annals of Applied Mathematics, 2013, (04) : 484 - 489
[2] Existence of solutions for a Dirichlet problem with a p-Laplacian
Yuan, Jian-Jun
Ou, Zeng-Qi
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 397 (02) : 577 - 585
[3] Three solutions for a Dirichlet boundary value problem involving the p-Laplacian
Afrouzi, G. A.
Heidarkhani, S.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (10) : 2281 - 2288
[4] EXISTENCE AND UNIQUENESS OF SINGULAR SOLUTIONS OF p-LAPLACIAN WITH ABSORPTION FOR DIRICHLET BOUNDARY CONDITION
Nguyen Anh Dao
Diaz, Jesus Ildefonso
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 145 (12) : 5235 - 5245
[5] Some Multiplicity Results to the Existence of Three Solutions for a Dirichlet Boundary Value Problem Involving the p-Laplacian
Heidarkhani, Shapour
Afrouzi, Ghasem Alizadeh
[J]. MATHEMATICAL MODELLING AND ANALYSIS, 2011, 16 (03) : 390 - 400
[6] Multiple solutions for a dirichlet problem involving the p-Laplacian
Cammaroto, F.
Chinni, A.
Di Bella, B.
[J]. DYNAMIC SYSTEMS AND APPLICATIONS, 2007, 16 (04): : 673 - 679
[7] Three solutions for a perturbed Dirichlet boundary value problem involving the p-Laplacian
Shang, Xudong
Zhang, Jihui
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (3-4) : 1417 - 1422
[8] EXISTENCE OF POSITIVE SOLUTIONS FOR A SINGULAR p-LAPLACIAN DIRICHLET PROBLEM
Zhou, Wenshu
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2008,
[9] Infinitely many solutions for a Dirichlet problem involving the p-Laplacian
Bonanno, Gabriele
Bisci, Giovanni Molica
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2010, 140 : 737 - 752
[10] Infinitely many solutions for the Dirichlet problem involving the p-Laplacian
Cammaroto, F
Chinnì, A
Di Bella, B
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 61 (1-2) : 41 - 49

← 1 2 3 4 5 →