On Hardy and Caffarelli-Kohn-Nirenberg inequalities

被引：9
|
作者：
Hoai-Minh Nguyen [1 ]
Squassina, Marco [2 ]
机构：
[1] Ecole Polytech Fed Lausanne, Dept Math, Stn 8, CH-1015 Lausanne, Switzerland
[2] Univ Cattolica Sacro Cuore, Dipartimento Matemat & Fis, Via Musei 41, I-25121 Brescia, Italy
来源：
JOURNAL D ANALYSE MATHEMATIQUE | 2019年 / 139卷 / 02期
关键词：
WEIGHTED NORM INEQUALITIES; GAMMA-CONVERGENCE; SOBOLEV; CONNECTIONS; CONSTANT; BOURGAIN; FORMULA; BREZIS;
D O I：
10.1007/s11854-025-0077-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We establish improved versions of the Hardy and Caffarelli-Kohn-Nirenberg inequalities by replacing the standard Dirichlet energy with some nonlocal nonconvex functionals which have been involved in estimates for the topological degree of continuous maps from a sphere into itself and characterizations of Sobolev spaces.
引用
收藏
页码：773 / 797
页数：25
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