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

页码：4439 / 4459

页数：21

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