Existence of Nontrivial Solutions for Perturbed Elliptic System in RN

被引：0

作者：

Jiang, Juan ^{[1
]}

机构：

[1] China Univ Min & Technol, Dept Math, Xuzhou 221116, Jiangsu, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2014年

基金：

中国国家自然科学基金;

关键词：

NONLINEAR SCHRODINGER-EQUATIONS; SEMICLASSICAL STATES; POSITIVE SOLUTIONS; BOUND-STATES;

D O I：

10.1155/2014/252438

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the perturbed nonlinear elliptic system -epsilon(2) Delta u + V(x)u = K(x)vertical bar u vertical bar(2*-2)u + H-u(u,v), x is an element of R-N, -epsilon(2) Delta v + V(x)v = K(x)vertical bar v vertical bar(2*-2)v + H-v(u,v), x is an element of R-N, where N >= 3, 2(*) = 2N/(N - 2) is the Sobolev critical exponent. Under proper conditions on V, H, and K, the existence result and multiplicity of the system are obtained by using variational method provided epsilon is small enough.

引用

页数：6

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