Weighted Sobolev spaces of radially symmetric functions

被引：27
|
作者：
Musina, Roberta [1 ]
机构：
[1] Univ Udine, Dipartimento Matemat & Informat, I-33100 Udine, Italy
来源：
ANNALI DI MATEMATICA PURA ED APPLICATA | 2014年 / 193卷 / 06期
关键词：
Rellich inequality; Sobolev inequality; Caffarelli-Kohn-Nirenberg inequality; Weighted biharmonic operator; Dilation invariance; SHARP CONSTANTS; INEQUALITIES; EXISTENCE;
D O I：
10.1007/s10231-013-0348-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove dilation invariant inequalities involving radial functions, poliharmonic operators and weights that are powers of the distance from the origin. Then, we discuss the existence of extremals, and in some cases, we compute the best constants.
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页码：1629 / 1659
页数：31
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