EXISTENCE AND ASYMPTOTIC BEHAVIOR OF NORMALIZED GROUND STATES FOR CRITICAL COUPLED CHOQUARD SYSTEMS

被引：0
|
作者：
Yu, Yan [1 ]
Sang, Yanbin [1 ]
机构：
[1] North Univ China, Sch Math, Taiyuan 030051, Peoples R China
来源：
JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS | 2025年 / 9卷 / 02期
关键词：
Choquard system; Normalized solutions; Upper critical exponent; Variational methods; STANDING WAVES; SCHRODINGER-EQUATIONS;
D O I：
10.23952/jnva.9.2025.2.03
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the existence of normalized solutions to a Choquard system with upper critical exponents. First, we prove the existence of normalized ground states for the coupling constant beta > 0. Furthermore, the nonexistence result of normalized solutions is investigated when beta < 0. Finally, the asymptotic properties of the solutions are obtained as beta -> 0(+) or beta -> + infinity.
引用
收藏
页码：197 / 228
页数：32
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