Positive solution to a class of relativistic nonlinear Schrodinger equation

被引：28

作者：

Cheng, Yongkuan ^{[1
]}

Yang, Jun ^{[1
]}

机构：

[1] S China Univ Technol, Dept Math, Guangzhou 510640, Guangdong, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 411卷 / 02期

关键词：

Schrodinger equations; Mountain pass theorem; Positive solutions; SOLITON-SOLUTIONS; EXISTENCE; WAVES;

D O I：

10.1016/j.jmaa.2013.10.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using a change of variables, we convert a quasilinear elliptic equation into a semilinear one. Then by Jeanjean's result [6], we get a bounded (PS) sequence for the corresponding functional and show the existence of positive nontrivial solution. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：665 / 674

页数：10

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