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

页码：197 / 228

页数：32

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