Existence and Multiplicity of Nontrivial Solutions for a Class of Fourth-Order Elliptic Equations

被引:1
作者
Li, Chun [1 ]
Ou, Zeng-Qi [1 ]
Tang, Chun-Lei [1 ]
机构
[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
基金
中国国家自然科学基金;
关键词
NONAUTONOMOUS HAMILTONIAN-SYSTEMS; PERIODIC-SOLUTIONS;
D O I
10.1155/2013/597193
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Using the Fountain theorem and a version of the Local Linking theorem, we obtain some existence and multiplicity results for a class of fourth-order elliptic equations.
引用
收藏
页数:8
相关论文
共 16 条
[1]   Existence of nontrivial solutions of an asymptotically linear fourth-order elliptic equation [J].
An, Yukun ;
Liu, Renyi .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (11) :3325-3331
[2]   INFINITELY MANY SOLUTIONS OF A SYMMETRICAL DIRICHLET PROBLEM [J].
BARTSCH, T .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1993, 20 (10) :1205-1216
[3]   Multiple solutions for a class of nonlinear Schrodinger equations [J].
Ding, YH ;
Luan, SX .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2004, 207 (02) :423-457
[4]   LARGE-AMPLITUDE PERIODIC OSCILLATIONS IN SUSPENSION BRIDGES - SOME NEW CONNECTIONS WITH NONLINEAR-ANALYSIS [J].
LAZER, AC ;
MCKENNA, PJ .
SIAM REVIEW, 1990, 32 (04) :537-578
[5]   APPLICATIONS OF LOCAL LINKING TO CRITICAL-POINT THEORY [J].
LI, SJ ;
WILLEM, M .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1995, 189 (01) :6-32
[6]   PERIODIC-SOLUTIONS FOR A CLASS OF NONAUTONOMOUS HAMILTONIAN-SYSTEMS [J].
LI, SJ ;
SZULKIN, A .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1994, 112 (01) :226-238
[7]   On sign-changing solution for a fourth-order asymptotically linear elliptic problem [J].
Liu, Xiangqing ;
Huang, Yisheng .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (05) :2271-2276
[8]   Periodic solutions for a class of non-autonomous Hamiltonian systems [J].
Luan, SX ;
Mao, A .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 61 (08) :1413-1426
[9]   Multiplicity results for a fourth-order semilinear elliptic problem [J].
Micheletti, AM ;
Pistoia, A .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1998, 31 (07) :895-908
[10]   Nontrivial solutions for some fourth order semilinear elliptic problems [J].
Micheletti, AM ;
Pistoia, A .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1998, 34 (04) :509-523