Standing wave solutions for a generalized quasilinear Schrodinger equation with indefinite potential

被引：1

作者：

Jin, Qingfei ^{[1
]}

机构：

[1] Jianghan Univ, Sch Artificial Intelligence, Dept Math, Wuhan, Hubei, Peoples R China

来源：

APPLICABLE ANALYSIS | 2023年 / 102卷 / 15期

关键词：

Schrodinger equation; quasilinear equation; standing waves; Morse theory; SOLITON-SOLUTIONS; EXISTENCE; PLASMA;

D O I：

10.1080/00036811.2022.2107907

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the standing waves for a generalized quasilinear Schrodinger equation with indefinite potential. By Morse theory, we obtain a nontrivial solution for the equation. In addition, if the nonlinear term is an odd function, we can obtain an unbounded sequence of solutions.

引用

页码：4162 / 4176

页数：15

共 29 条

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