Multiple solutions for a class of quasilinear Schrodinger equations

被引：5

作者：

Li, Quanqing ^{[1
]}

Wang, Wenbo ^{[2
]}

Teng, Kaimin ^{[3
]}

Wu, Xian ^{[4
]}

机构：

[1] Honghe Univ, Dept Math, Mengzi 661100, Yunnan, Peoples R China

[2] Yunnan Univ, Dept Math & Stat, Kunming 650091, Yunnan, Peoples R China

[3] Taiyuan Univ Technol, Dept Math, Taiyuan 030024, Shanxi, Peoples R China

[4] Yunnan Normal Univ, Dept Math, Kunming 650092, Yunnan, Peoples R China

来源：

MATHEMATISCHE NACHRICHTEN | 2019年 / 292卷 / 07期

基金：

中国国家自然科学基金; 山西省青年科学基金;

关键词：

high energy solution; perturbation approach; quasilinear Schrodinger equation; SOLITON-SOLUTIONS; ELLIPTIC-EQUATIONS; EXISTENCE;

D O I：

10.1002/mana.201700160

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the following quasilinear Schrodinger equations of theform -Delta u+V(x)u-Delta(|u|2 alpha)|u|2 alpha-2u=g(x,u),where alpha, V is an element of C(RN,R), g is an element of C(RNxR,R). Some existence results for positive solutions, negative solutions and sequence of high energy solutions are obtained via a perturbationmethod.

引用

页码：1530 / 1550

页数：21

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