Positive solutions of asymptotically linear Schrödinger–Poisson systems with a radial potential vanishing at infinity

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成果类型：

期刊论文

作者：

Sun, Juntao*;Chen, Haibo;Yang, Liu

通讯作者：

Sun, Juntao

作者机构：

[Chen, Haibo; Sun, Juntao; Yang, Liu] Cent S Univ, Dept Math, Changsha 410075, Hunan, Peoples R China.

[Yang, Liu] Hengyang Normal Univ, Dept Math, Hengyang 421008, Hunan, Peoples R China.

通讯机构：

[Sun, Juntao] C

Cent S Univ, Dept Math, Changsha 410075, Hunan, Peoples R China.

语种：

英文

关键词：

Asymptotically linear;Non-Linearity;Nonlinear SchrdingerPoisson system;Positive solution;Vanishing potential;Variational methods;Asymptotic analysis

期刊：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

ISSN：

0362-546X

年：

2011

卷：

期：

页码：

413-423

DOI：

10.1016/j.na.2010.08.052

基金类别：

The first author was supported by the Graduate Degree Thesis Innovation Foundation of Central South University ( CX2009B023 ). The second author was supported by NFSC ( 10871206 ).

机构署名：

本校为其他机构

院系归属：

数学与统计学院

摘要：

In this paper, we study the SchrdingerPoisson system -Δu+V(x) u+λφ(x)u=K(x)f(u),inR3,-Δφ=u2,u>0,inR3, and prove the existence of positive solutions for system (SP) when the nonlinearity f has growth at most linear for λ small, allowing the potential V(x) to vanish at infinity. In addition, also we obtain the nonexistence of a nontrivial positive solution for...

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Positive solutions of asymptotically linear Schrödinger–Poisson systems with a radial potential vanishing at infinity

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