General optimal euclidean Sobolev and Gagliardo-Nirenberg inequalities

We prove general optimal euclidean Sobolev and Gagliardo-Nirenberg inequalities by using masstransportation and convex analysis results. Explicit extremals and the computation of some optimalconstants are also provided. In particular we extend the optimal Gagliardo-Nirenberg inequalityproved by Del...

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Vydáno v:Anais da Academia Brasileira de Ciências
Hlavní autoři: Jurandir Ceccon, Marcos Montenegro
Médium: Artigo
Jazyk:Inglês
Vydáno: Academia Brasileira de Ciências 2005
Témata:
Multidisciplinaria (Ciencias Naturales y Exactas)
Gagliardo
best constants
convex analysis
mass transportation
Nirenberg inequalities
On-line přístup:https://www.redalyc.org/articulo.oa?id=32777401
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