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

页码：158 / 168

页数：11

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