Existence and multiplicity of solutions for Schrodinger-Poisson equations with sign-changing potential

被引：35
|
作者：
Ye, Yiwei [1 ,2 ]
Tang, Chun-Lei [1 ]
机构：
[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
[2] Chongqing Normal Univ, Dept Math, Chongqing 40133, Peoples R China
来源：
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2015年 / 53卷 / 1-2期
基金：
中国国家自然科学基金;
关键词：
GROUND-STATE SOLUTIONS; KLEIN-GORDON-MAXWELL; POSITIVE SOLUTIONS; BOUND-STATES; SYSTEM;
D O I：
10.1007/s00526-014-0753-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the existence and multiplicity of solutions for the Schrodinger-Poisson equations {-Delta u + lambda V(x)u + K(x)phi u = f(x, u) inR(3), -Delta phi = K(x)u(2) inR(3), where lambda > 0 is a parameter, the potential may change sign and f is either superlinear or sublinear in as broken vertical bar u broken vertical bar -> infinity.
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页码：383 / 411
页数：29
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