High energy solutions of systems of Kirchhoff-type equations in RN

被引：35

作者：

Wu, Xian ^{[1
]}

机构：

[1] Yunnan Normal Univ, Dept Math, Kunming 650092, Yunnan, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2012年 / 53卷 / 06期

基金：

中国国家自然科学基金;

关键词：

POSITIVE SOLUTIONS; INDEX;

D O I：

10.1063/1.4729543

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In the present paper, five new critical point theorems on the product spaces are given and three existence theorems for the sequence of high energy solutions for the systems of Kirchhoff-type equations are studied. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4729543]

引用

页数：18

共 14 条

[1] Positive solutions for a quasilinear elliptic equation of Kirchhoff type
Alves, CO
Corrêa, FJSA
Ma, TF
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 49 (01) : 85 - 93
[2] ON A NEW INDEX THEORY AND NON SEMI-TRIVIAL SOLUTIONS FOR ELLIPTIC SYSTEMS
Chang, Kung-Ching
Wang, Zhi-Qiang
Zhang, Tan
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2010, 28 (02) : 809 - 826
[3] Existence results of positive solutions of Kirchhoff type problems
Cheng, Bitao
Wu, Xian
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (10) : 4883 - 4892
[4] ON THE SOLVABILITY OF DEGENERATED QUASI-LINEAR ELLIPTIC-EQUATIONS OF HIGHER-ORDER
DRABEK, P
KUFNER, A
NICOLOSI, F
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1994, 109 (02) : 325 - 347
[5] Infinitely many positive solutions for Kirchhoff-type problems
He, Xiaoming
Zou, Wenming
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (03) : 1407 - 1414
[6] Solutions for quasilinear Schrodinger equations via the Nehari method
Liu, JQ
Wang, YQ
Wang, ZQ
[J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2004, 29 (5-6) : 879 - 901
[7] Positive solutions for a nonlinear nonlocal elliptic transmission problem
Ma, TF
Rivera, JEM
[J]. APPLIED MATHEMATICS LETTERS, 2003, 16 (02) : 243 - 248
[8] Sign-changing and multiple solutions of Kirchhoff type problems without the PS condition
Mao, Anmin
Zhang, Zhitao
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (03) : 1275 - 1287
[9] Nontrivial solutions of Kirchhoff-type problems via the Yang index
Perera, K
Zhang, ZT
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2006, 221 (01) : 246 - 255
[10] Rabinowitz PH, 1986, MINIMAX METHODS CRIT

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