Infinitely many solutions for Schrödinger equations with Hardy potential and Berestycki-Lions conditions

被引：0
|
作者：
Zhou, Shan [1 ]
机构：
[1] Anyang Univ Korea, Global Grad Sch, Anyang 430714, Gyeonggi Do, South Korea
来源：
OPEN MATHEMATICS | 2024年 / 22卷 / 01期
关键词：
Berestycki-Lions conditions; Hardy potential; infinitely many solutions; variation method; symmetric mountain pass; SCALAR FIELD-EQUATIONS; EXISTENCE;
D O I：
10.1515/math-2023-0175
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we investigate the following Schr & ouml;dinger equation: -Delta u- mu/xug (u) Delta in,N-2(R-N) where >= N-3,mu divided by x2 divided by is called the Hardy potential and g satisfies Berestycki-Lions conditions. If<<-mu(N-2)(2)/4, we will take symmetric mountain pass approaches to prove the existence of infinitely many solutions of this problem.
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页数：9
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