General optimal euclidean Sobolev and Gagliardo-Nirenberg inequalities

DOI10.1590/S0001-37652005000400001zbMath1105.46014WikidataQ51631882 ScholiaQ51631882MaRDI QIDQ5471577

Marcos Montenegro, Jurandir Ceccon

Publication date: 14 June 2006

Published in: Anais da Academia Brasileira de Ciências (Search for Journal in Brave)

zbMATH Keywords

Sobolev inequalitybest constantsGagliardo-Nirenberg inequalitymass transportation

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10)

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Compactness results for divergence type nonlinear elliptic equations

Cites Work

• Best constant in Sobolev inequality
• Problèmes isoperimetriques et espaces de Sobolev
• The general optimal \(L^{p}\)-Euclidean logarithmic Sobolev inequality by Hamilton--Jacobi equations.
• A mass-transportation approach to sharp Sobolev and Gagliardo-Nirenberg inequalities.
• The optimal Euclidean \(L^{p}\)-Sobolev logarithmic inequality.
• Existence and uniqueness of monotone measure-preserving maps