EXISTENCE OF A GROUND STATE SOLUTION FOR THE CHOQUARD EQUATION WITH NONPERIODIC POTENTIALS

被引：0
|
作者：
罗缘圆 [1 ]
高冬梅 [1 ]
王俊 [1 ]
机构：
[1] Institute of Applied System Analysis,Jiangsu University
来源：
Acta Mathematica Scientia | 2023年 / 43卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Choquard equation; ground state solution; critical points; variational methods;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
We study the Choquard equation-Δu+V(x)u-b(x)∫R3|u(y)|2/|x-y|dyu,x∈R3,where V(x)= V1(x),b(x)= b1(x) for x1> 0 and V(x)=V2(x),b(x)= b2(x) for x1<0,and V1,V2,b1and b2are periodic in each coordinate direction.Under some suitable assumptions,we prove the existence of a ground state solution of the equation.Additionally,we find some sufficient conditions to guarantee the existence and nonexistence of a ground state solution of the equation.
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页码：303 / 323
页数：21
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