Normalized solutions of linearly coupled Choquard system with potentials

被引：0
|
作者：
Li, Meng [1 ]
He, Jinchun [2 ]
Xu, Haoyuan [2 ]
Yang, Meihua [2 ]
机构：
[1] Informat Engn Univ, Basic Dept, Zhengzhou, Peoples R China
[2] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2025年 / 48卷 / 04期
关键词：
ground state solutions; linearly coupled Choquard system; normalized solutions; NONLINEAR SCHRODINGER SYSTEMS; ORBITAL STABILITY; GROUND-STATES; EXISTENCE; EQUATIONS; COMPACTNESS; BEHAVIOR;
D O I：
10.1002/mma.10556
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the existence of solutions for the linearly coupled Choquard system with potentials {-Delta u+lambda(1)u+V-1(x)u=mu(1)(I-alpha star|u|(p))|u|(p-2)u+beta(x)v, x is an element of R-N, -Delta v+lambda(2)v+V-2(x)v=mu(2)(I alpha star|v|q)|v|q-2v+beta(x)u, under the constraint integral(N)(R)u(2)dx=xi(2),integral(N)(R)v(2)dx=eta(2), where N >= 3,I-alpha=1/|x|(N-alpha),alpha is an element of (0,N),1+alpha/N<p,q<N+alpha/N-2,mu(1)>0,mu(2)>0 and beta(x) is a fixed function.
引用
收藏
页码：4439 / 4459
页数：21
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