NORMALIZED SOLUTIONS OF FRACTIONAL CHOQUARD EQUATION WITH CRITICAL NONLINEARITY

被引：5
|
作者：
Feng, Zhaosheng [1 ]
He, Xiaoming [2 ]
Meng, Yuxi [3 ]
机构：
[1] Univ Texas Rio Grande Valley, Sch Math & Stat Sci, Edinburg, TX 78539 USA
[2] Minzu Univ China, Coll Sci, Beijing 100081, Peoples R China
[3] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
来源：
DIFFERENTIAL AND INTEGRAL EQUATIONS | 2023年 / 36卷 / 7-8期
基金：
中国国家自然科学基金; 北京市自然科学基金;
关键词：
SCALAR FIELD-EQUATIONS; SCHRODINGER-EQUATIONS; GROUND-STATE; EXISTENCE; UNIQUENESS; MASS;
D O I：
10.57262/die036-0708-593
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we are concerned with normalized solutions of the fractional critical Choquard equation with a local perturbation and prescribed mass. For the L2-sub critical case, we study the mul-tiplicity of normalized solutions by applying the truncation technique, the concentration-compactness principle and the genus theory. For the L2-supercritical case, we obtain a couple of normalized solutions by de-veloping a fiber map and using the concentration-compactness principle.
引用
收藏
页码：593 / 620
页数：28
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