Choquard equations with recurrent potentials

被引：1
|
作者：
Ding, Hui-Sheng [1 ]
Liu, Quan [1 ]
Long, Wei [1 ]
Zhong, Lan [1 ]
机构：
[1] Jiangxi Normal Univ, Sch Math & Stat, Nanchang 330022, Jiangxi, Peoples R China
来源：
ADVANCES IN NONLINEAR ANALYSIS | 2024年 / 13卷 / 01期
关键词：
Choquard equation; recurrent potential; almost periodic function; EXISTENCE;
D O I：
10.1515/anona-2024-0057
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we are concerned with the existence of nontrivial solutions to the Choquard equation -Delta u+alpha(x)u=(divided by x divided by-mu & lowast;divided by u divided by(q))divided by u divided by(q-2) u in R-N(N >= 2), with recurrent potential alpha , where 0<mu<N and 2N-mu/N<q<2N-mu/N-2 . Our results include some classical cases where alpha is constant and alpha is periodic, as well as some new cases, such as alpha being almost periodic and alpha being only bounded and uniformly continuous
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页数：23
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