Infinitely Many Nontrivial Solutions of Resonant Cooperative Elliptic Systems with Superlinear Terms

被引：1

作者：

Chen, Guanwei ^{[1
]}

Ma, Shiwang ^{[2
,3
]}

机构：

[1] Anyang Normal Univ, Sch Math & Stat, Anyang 455000, Henan, Peoples R China

[2] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China

[3] Nankai Univ, LPMC, Tianjin 300071, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2014年

关键词：

MULTIPLE SOLUTIONS; COMPUTATIONS; EQUATIONS;

D O I：

10.1155/2014/349304

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a class of resonant cooperative elliptic systems and replace the Ambrosetti-Rabinowitz superlinear condition with general superlinear conditions. We obtain ground state solutions and infinitely many nontrivial solutions of this system by a generalized Nehari manifold method developed recently by Szulkin and Weth.

引用

页数：8

共 50 条

[1] Infinitely many solutions for resonant cooperative elliptic systems with sublinear or superlinear terms
Guanwei Chen
Shiwang Ma
[J]. Calculus of Variations and Partial Differential Equations, 2014, 49 : 271 - 286
[2] Infinitely many solutions for resonant cooperative elliptic systems with sublinear or superlinear terms
Chen, Guanwei
Ma, Shiwang
[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2014, 49 (1-2) : 271 - 286
[3] Erratum to: Infinitely many solutions for resonant cooperative elliptic systems with sublinear or superlinear terms
Guanwei Chen
Shiwang Ma
[J]. Calculus of Variations and Partial Differential Equations, 2014, 49 (1-2) : 287 - 290
[4] Ground State Solutions for Resonant Cooperative Elliptic Systems with General Superlinear Terms
Shi, Hongxia
Chen, Haibo
[J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (05) : 2897 - 2909
[5] Ground State Solutions for Resonant Cooperative Elliptic Systems with General Superlinear Terms
Hongxia Shi
Haibo Chen
[J]. Mediterranean Journal of Mathematics, 2016, 13 : 2897 - 2909
[6] Infinitely many solutions for superlinear periodic Hamiltonian elliptic systems
Xu, Xiaoming
Kuang, Qiaoyan
Gong, Yanping
[J]. BOUNDARY VALUE PROBLEMS, 2015,
[7] Infinitely many solutions for superlinear periodic Hamiltonian elliptic systems
Xiaoming Xu
Qiaoyan Kuang
Yanping Gong
[J]. Boundary Value Problems, 2015
[8] Multiple solutions of superlinear cooperative elliptic systems at resonant
Chen, Guanwei
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2017, 34 : 264 - 274
[9] Infinitely Many Solutions of Superlinear Elliptic Equation
Mao, Anmin
Li, Yang
[J]. ABSTRACT AND APPLIED ANALYSIS, 2013,
[10] GROUND STATE SOLUTIONS OF NON-RESONANT COOPERATIVE ELLIPTIC SYSTEMS WITH SUPERLINEAR TERMS
Chen, Guanwei
[J]. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2014, 51 (03) : 789 - 801

← 1 2 3 4 5 →