Multiplicity of nontrivial solutions for quasilinear elliptic equation

被引：1

作者：

Ou, Zeng-Qi ^{[1
]}

Li, Chun ^{[1
]}

Yuan, Jian-Jun ^{[1
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 388卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Quasilinear elliptic equation; Cohomological index; Local linking; Critical point; P-LAPLACIAN; HAMILTONIAN-SYSTEMS; LINKING; NONLINEARITY; EXISTENCE; RESONANCE;

D O I：

10.1016/j.jmaa.2011.11.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A three-critical-point theorem related to local linking is obtained and applied to study multiplicity of nontrivial solutions for a class of quasilinear elliptic equations. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：198 / 204

页数：7

共 50 条

[21] Multiplicity of solutions for quasilinear elliptic equations in RN
Aouaoui, Sami
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 370 (02) : 639 - 648
[22] Multiplicity of Solutions for Quasilinear Elliptic Systems with Singularity
Li, Juan
Tong, Yu-xia
[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2015, 31 (01): : 277 - 286
[23] MULTIPLICITY OF NONTRIVIAL SOLUTIONS FOR A CLASS OF FRACTIONAL ELLIPTIC EQUATIONS
Kenzizi, Tarek
[J]. JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2021, 33 (03) : 315 - 325
[24] Multiplicity of solutions for a class of quasilinear elliptic equation involving the critical Sobolev and Hardy exponents
Sihua Liang
Jihui Zhang
[J]. Nonlinear Differential Equations and Applications NoDEA, 2010, 17 : 55 - 67
[25] Multiplicity of solutions for a class of quasilinear elliptic equation involving the critical Sobolev and Hardy exponents
Liang, Sihua
Zhang, Jihui
[J]. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2010, 17 (01): : 55 - 67
[26] A NONTRIVIAL SOLUTION OF A QUASILINEAR ELLIPTIC EQUATION VIA DUAL APPROACH
杨先勇
张薇
赵富坤
[J]. Acta Mathematica Scientia, 2019, 39 (02) : 580 - 596
[27] A Nontrivial Solution of a Quasilinear Elliptic Equation Via Dual Approach
Yang, Xianyong
Zhang, Wei
Zhao, Fukun
[J]. ACTA MATHEMATICA SCIENTIA, 2019, 39 (02) : 580 - 596
[28] Three nontrivial solutions for a quasilinear elliptic differential equation at resonance with discontinuous right hand side
Kourogenis, NC
Papageorgiou, NS
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 238 (02) : 477 - 490
[29] A Nontrivial Solution of a Quasilinear Elliptic Equation Via Dual Approach
Xianyong Yang
Wei Zhang
Fukun Zhao
[J]. Acta Mathematica Scientia, 2019, 39 : 580 - 596
[30] Multiplicity of solutions for a quasilinear elliptic equation with (p, q)-Laplacian and critical exponent on RN
Huang, Chen
Jia, Gao
Zhang, Tiansi
[J]. BOUNDARY VALUE PROBLEMS, 2018,

← 1 2 3 4 5 →