Elliptic systems involving the critical exponents and potentials

被引：17

作者：

Huang, Yan ^{[1
]}

Kang, Dongsheng ^{[1
]}

机构：

[1] S Cent Univ Nationalities, Dept Math, Wuhan 430074, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Elliptic system; Solution; Asymptotic property; Hardy inequality; Variational method; NONLINEAR SCHRODINGER-EQUATIONS; CRITICAL SOBOLEV; INEQUALITIES; EXISTENCE;

D O I：

10.1016/j.na.2009.02.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate a singular elliptic system, which involves the critical Sobolev exponent and multiple Hardy-type terms. By employing variational methods, the existence of its positive solutions is established. By the Moser iteration method, some asymptotic properties of its nontrivial solutions at the singular points are verified. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：3638 / 3653

页数：16

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