On a class of nonlocal nonlinear Schrodinger equations with potential well

被引：8
|
作者：
Wu, Tsung-fang [1 ]
机构：
[1] Natl Univ Kaohsiung, Dept Appl Math, Kaohsiung 811, Taiwan
来源：
ADVANCES IN NONLINEAR ANALYSIS | 2020年 / 9卷 / 01期
关键词：
Nonlocal nonlinear Schrodinger equations; Nehari manifold; Multiple positive solutions; Concentration-compactness principle; HARDY-LITTLEWOOD-SOBOLEV; POSITIVE SOLUTIONS; POISSON SYSTEM; MULTIPLE SOLUTIONS; BOUND-STATES; ELLIPTIC PROBLEMS; EXISTENCE;
D O I：
10.1515/anona-2020-0020
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we investigate the existence, multiplicity and asymptotic behavior of positive solution for the nonlocal nonlinear Schrodinger equations. We exploiting the relationship between the Nehari manifold and eigenvalue problems to discuss how the Nehari manifold changes as parameters mu, lambda changes and show how existence, multiplicity and asymptotic results for positive solutions of the equation are linked to properties of the manifold.
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页码：665 / 689
页数：25
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