Multiple solutions for Schrodinger-Poisson type equation with magnetic field

被引：13

作者：

Zhu, Anqiang ^{[1
]}

Sun, Xiaomei ^{[2
]}

机构：

[1] Wuhan Univ, Sch Math & Stat, Wuhan 430070, Peoples R China

[2] Huazhong Agr Univ, Coll Sci, Wuhan 430070, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2015年 / 56卷 / 09期

基金：

中国国家自然科学基金;

关键词：

MAXWELL; EXISTENCE; STATES;

D O I：

10.1063/1.4929571

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we consider the multiplicity and concentration behavior for a nonlinear Schrodinger-Poisson type equation with magnetic field. By penalization method and Ljusternik-Schnirelmann theory, we present the relationship between the number of solutions and the topology of the set where the potential attains its minimum value. (C) 2015 AIP Publishing LLC.

引用

页数：15

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