ON A FRACTIONAL HARDY-SOBOLEV INEQUALITY WITH TWO-VARIABLES

被引：0
|
作者：
Guo, Zhenyu [1 ]
Zhong, Xuexiu [2 ]
机构：
[1] Liaoning Normal Univ, Sch Math, Dalian, Peoples R China
[2] South China Normal Univ, Res Ctr Appl Math & Interdisciplinary Studies, Guangzhou, Peoples R China
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2022年 / 52卷 / 05期
关键词：
Hardy-Sobolev inequality; fractional critical exponent; CAFFARELLI-KOHN-NIRENBERG; ELLIPTIC-EQUATIONS; EXTREMAL-FUNCTIONS; SHARP CONSTANTS; NONEXISTENCE; SYMMETRY; REGULARITY; EXISTENCE;
D O I：
10.1216/rmj.2022.52.1643
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A fractional two-variable Hardy-Sobolev inequality and its corresponding best constant are considered in this paper. As an application, we establish existence and uniqueness results of a ground state solution to a system with fractional critical Hardy-Sobolev exponents.
引用
收藏
页码：1643 / 1660
页数：18
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