Positive solutions for a class of quasilinear Schrodinger equations with superlinear condition

被引：13
|
作者：
Chen, Jianhua [1 ]
Huang, Xianjiu [1 ]
Cheng, Bitao [2 ]
机构：
[1] Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
[2] Qujing Normal Univ, Sch Math & Stat, Qujing 655011, Yunnan, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2019年 / 87卷
基金：
中国国家自然科学基金;
关键词：
Quasilinear Schrodinger equation; Positive solutions; Pohozaev identity; Superlinear condition; SOLITON-SOLUTIONS; EXISTENCE; WAVES;
D O I：
10.1016/j.aml.2018.07.035
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the following quasilinear Schrodinger equation - Delta u + V(x)u + k/2 Delta(u(2))u = f(u), x is an element of R-N, where N >= 3, k > 0 and V : R-N -> R satisfies suitable assumptions. By using a change of variable, we obtain the existence of positive solutions, which use the method developed by Jeanjean (1999). (C) 2018 Elsevier Ltd. All rights reserved.
引用
收藏
页码：165 / 171
页数：7
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