Infinitely many radial and non-radial solutions to a quasilinear Schrodinger equation

被引：15
|
作者：
Yang, Xianyong [1 ,2 ]
Wang, Wenbo [2 ]
Zhao, Fukun [2 ]
机构：
[1] Yunnan Minzu Univ, Sch Preparatory Educ, Kunming 650500, Yunnan, Peoples R China
[2] Yunnan Normal Univ, Dept Math, Kunming 650500, Yunnan, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2015年 / 114卷
关键词：
Quasilinear Schrodinger equation; Radial solution; Nonradial solution; SCALAR FIELD-EQUATIONS; ELLIPTIC-EQUATIONS; SOLITON-SOLUTIONS; MULTIPLE SOLUTIONS; EXISTENCE;
D O I：
10.1016/j.na.2014.11.015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we are concerned with the following quasilinear Schrodinger equation -Delta u - u Delta(vertical bar u vertical bar(2)) + V(vertical bar x vertical bar)u = f(vertical bar x vertical bar, u), x is an element of R-N By using a change of variables, we obtained the existence of a sequence of radial solutions for N >= 2, a sequence of nonradial solutions for N = 4 or N >= 6, and a nonradial solution for N = 5. (C) 2014 Elsevier Ltd. All rights reserved.
引用
收藏
页码：158 / 168
页数：11
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