A mass-transportation approach to sharp Sobolev and Gagliardo-Nirenberg inequalities.

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Publication:1426972

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DOI10.1016/S0001-8708(03)00080-XzbMath1048.26010MaRDI QIDQ1426972

Cédric Villani, Bruno Nazaret, Dario Cordero-Erausquin

Publication date: 14 March 2004

Published in: Advances in Mathematics (Search for Journal in Brave)

zbMATH Keywords

Sobolev inequalities Gagliardo-Nirenberg inequalities mass-transportation

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational problems in a geometric measure-theoretic setting (49Q20) Inequalities involving derivatives and differential and integral operators (26D10)

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