Positive ground state solutions for a class of schrödinger–poisson systems with sign-changing and vanishing potential

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成果类型：

期刊论文

作者：

Liu, Hongliang;Chen, Haibo*;Xiao, Qizhen

通讯作者：

Chen, Haibo

作者机构：

[Xiao, Qizhen; Liu, Hongliang] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.

[Chen, Haibo] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China.

通讯机构：

[Chen, Haibo] C

Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China.

语种：

英文

关键词：

Poisson equation;Ground state solutions;Linking theorem;Poisson system;Sign-changing;Variational methods;Ground state

期刊：

Mathematical Methods in the Applied Sciences

ISSN：

0170-4214

年：

2017

卷：

期：

页码：

1937-1948

DOI：

10.1002/mma.4110

基金类别：

The authorswish to thank the reviewers and the handling editor for their comments and suggestions,which led to a great improvement in the presentation of this work. Research is supported by the National Natural Science Foundation of ChinaNSFC11271372, the Hunan Provincial Foundation for Postgraduate CX2014B044 and the Mathematics and Interdisciplinary Sciences Project of CSU.

机构署名：

本校为第一机构

院系归属：

数理学院

摘要：

This paper deals with the following Schrödinger–Poisson systems (Formula presented) where λ, v are positive parameters and V(x) is sign-changing and may vanish at infinity. Under some suitable assumptions, the existence of positive ground state solutions is obtained by using variational methods. Our main results unify and improve the recent ones in...

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Positive ground state solutions for a class of schrödinger–poisson systems with sign-changing and vanishing potential

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