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.

引用

页码：1949 / 1960

页数：12

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