Existence and concentration of solutions of Schrodinger Poisson system

被引：48

作者：

Mao, Anmin ^{[1
]}

Yang, Lijuan ^{[1
]}

Qian, Aixia ^{[1
]}

Luan, Shixia ^{[1
]}

机构：

[1] Qufu Normal Univ, Sch Math Sci, Shandong 273165, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2017年 / 68卷

关键词：

Schrodinger-Poisson system; Variational methods; Priori estimate; KIRCHHOFF TYPE PROBLEMS; RADIAL POTENTIALS; MULTIPLICITY; EQUATIONS;

D O I：

10.1016/j.aml.2016.12.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to study the following Schrodinger-Poisson problem {-Delta u_V(x)u+epsilon phi(x)u =lambda f(u), in R3 -Delta phi=(u)2 [GRAPHICS] phi(x) = 0, in R-3,R- u>0, in R-3. We prove existence and concentration of positive solutions to system (SP) for suitable range of epsilon and A. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：8 / 12

页数：5

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