Stability theorems for Gagliardo-Nirenberg-Sobolev inequalities: a reduction principle to the radial case

被引：5
|
作者：
Ruffini, B. [1 ]
机构：
[1] Scuola Normale Super Pisa, I-56126 Pisa, Italy
来源：
REVISTA MATEMATICA COMPLUTENSE | 2014年 / 27卷 / 02期
关键词：
Sobolev inequality; Gagliardo-Nirenberg inequalities; Quantitative stability inequalities; SHARP SOBOLEV;
D O I：
10.1007/s13163-013-0144-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we investigate the quantitative stability for Gagliardo-Nirenberg-Sobolev inequalities. The main result is a reduction theorem, which states that, to solve the problem of the stability for Gagliardo-Nirenberg-Sobolev inequalities, one can consider only the class of radial decreasing functions.
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页码：509 / 539
页数：31
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