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

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

Abstract In this paper, we consider the superlinear Schrödinger 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.

Bibliographic Details
Main Authors: Wei Chen, Yue Wu, Seongtae Jhang
Format: Article
Language:English
Published: SpringerOpen 2021-05-01
Series:Advances in Difference Equations
Subjects:
Schrödinger equation
Superlinear
Potential well
Variational methods
Online Access:https://doi.org/10.1186/s13662-021-03390-0
Description
Summary:Abstract In this paper, we consider the superlinear Schrödinger 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.
ISSN:1687-1847

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