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.
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页码：581 / 587
页数：7
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