Multiplicity of positive solutions for a nonlinear Schrodinger-Poisson system

被引：78

作者：

Sun, Juntao ^{[1
]}

Wu, Tsung-fang ^{[2
]}

Feng, Zhaosheng ^{[3
]}

机构：

[1] Shandong Univ Technol, Sch Sci, Zibo 255049, Peoples R China

[2] Natl Univ Kaohsiung, Dept Appl Math, Kaohsiung 811, Taiwan

[3] Univ Texas Rio Grande Valley, Dept Math, Edinburg, TX 78539 USA

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年 / 260卷 / 01期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

Positive solutions; Sobolev embedding theorem; Schrodinger Poisson system; Radial solution; Barycenter map; Concentration-compactness principle; CONCENTRATION-COMPACTNESS PRINCIPLE; GROUND-STATE SOLUTIONS; NODAL SOLUTIONS; EXISTENCE; EQUATION; CALCULUS;

D O I：

10.1016/j.jde.2015.09.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the multiplicity of positive solutions for a nonlinear Schrodinger Poisson system: {-Delta U + lambda U + K (x) phi u = Q(x) broken vertical bar u broken vertical bar(p-2) u in R-3,R- -Delta phi = K(x) u(2) in R-3, where lambda > 0, 2 < p < 6, and both K(x) and Q(x) are nonnegative and uniformly continuous functions on R-3. We show that the number of positive solutions is dependent on the profile of Q (x). Some novel results are presented which improve and generalize the existing ones in the literature. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：586 / 627

页数：42