On a class of nonlocal nonlinear Schrödinger equations with potential well

Advances in Nonlinear Analysis

article

Tsung-fang Wu¹ 

[1] Department of Applied Mathematics, National University of Kaohsiung

关键词: Nonlocal nonlinear Schrödinger equations;    Nehari manifold;    Multiple positive solutions;    Concentration-compactness principle;   

DOI  :  10.1515/anona-2020-0020

学科分类：社会科学、人文和艺术（综合）

来源: De Gruyter

【 摘 要 】

In this paper we investigate the existence, multiplicity and asymptotic behavior of positive solution for the nonlocal nonlinear Schrödinger equations. We exploiting the relationship between the Nehari manifold and eigenvalue problems to discuss how the Nehari manifold changes as parameters μ , λ changes and show how existence, multiplicity and asymptotic results for positive solutions of the equation are linked to properties of the manifold.

【 授权许可】

CC BY