Existence of solutions for nonperiodic superquadratic Hamiltonian elliptic systems

被引：17
|
作者：
Wang, Jun [1 ]
Xu, Junxiang [1 ]
Zhang, Fubao [1 ]
机构：
[1] Southeast Univ, Dept Math, Nanjing 210096, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 72卷 / 3-4期
关键词：
Hamiltonian elliptic system; Variational methods; Generalized linking theorem; LEAST ENERGY SOLUTIONS; MULTIPLE SOLUTIONS; THEOREMS; STATES; DECAY;
D O I：
10.1016/j.na.2009.09.035
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the following nonperiodic Hamiltonian elliptic system {-Delta u + V(x)u = R-v(x, u, v) in R-N, -Delta v + V(x)v = R-u(x, u, v) in R-N, u(x) -> 0 and v (x) -> 0 as vertical bar x vertical bar -> infinity, where R(x, z) is superquadratic in z as vertical bar z vertical bar -> infinity with z = (u, v). By applying a critical point theorem for strongly indefinite functionals, we prove the existence of solution for the above system. (C) 2009 Elsevier Ltd. All rights reserved.
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页码：1949 / 1960
页数：12
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