On nontrivial solutions of nonlinear Schrodinger equations with sign-changing potential

被引：12

作者：

Chen, Wei ^{[1
,2
]}

Wu, Yue ^{[1
]}

Jhang, Seongtae ^{[2
]}

机构：

[1] Linyi Univ, Sch Math & Stat, Linyi 276000, Shandong, Peoples R China

[2] Univ Suwon, Coll Informat Technol, Hwaseong Si 18323, South Korea

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2021年 / 2021卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Schrodinger equation; Superlinear; Potential well; Variational methods;

D O I：

10.1186/s13662-021-03390-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the superlinear Schrodinger equation with bounded potential well. The potential here is allowed to be sign-changing. Without assuming the Ambrosetti-Rabinowitz-type condition, we prove the existence of a nontrivial solution and multiplicity results.

引用

页数：10

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