General optimal euclidean sobolev and Gagliardo-Nirenberg inequalities

被引：1

作者：

Ceccon, J ^{[1
]}

Montenegro, M ^{[1
]}

机构：

[1] Univ Fed Minas Gerais, Dept Matemat, ICEx, BR-30123970 Belo Horizonte, MG, Brazil

来源：

ANAIS DA ACADEMIA BRASILEIRA DE CIENCIAS | 2005年 / 77卷 / 04期

关键词：

best constants; Gagliardo-Nirenberg inequalities; mass transportation; convex analysis;

D O I：

10.1590/S0001-37652005000400001

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We prove general optimal euclidean Sobolev and Gagliardo-Nirenberg inequalities by using mass transportation and convex analysis results. Explicit extremals and the computation of some optimal constants are also provided. In particular we extend the optimal Gagliardo-Nirenberg inequality proved by Del Pino and Dolbeault 2003 and the optimal inequalities proved by Cordero-Erausquin et al. 2004.

引用

页码：581 / 587

页数：7

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