General optimal euclidean Sobolev and Gagliardo-Nirenberg inequalities

General optimal euclidean Sobolev and Gagliardo-Nirenberg inequalities

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 D...

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Bibliographic Details
Main Authors: Jurandir Ceccon, Marcos Montenegro
Format: Article
Language:English
Published: Academia Brasileira de Ciências 2005-12-01
Series:Anais da Academia Brasileira de Ciências
Subjects:
melhores constantes
desigualdades de Gagliardo-Nirenberg
transporte de massa
análise convexa
best constants
Gagliardo-Nirenberg inequalities
mass transportation
convex analysis
Online Access:http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652005000400001

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http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652005000400001

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