The Ab Program in Geometric Analysis: Sharp Sobolev Inequalities and Related Problems

By Olivier Druet, Emmanuel Hebey. 2002

116 citations recorded by the source corpus.

Subfields: Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/b08868f46963fd2b885ce5fa784a74f37b4e23a7

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In Numerical Analysis

1. G. Lu
2. Dario Cordero-Erausquin
3. Cédric Villani
4. Y. Yang

Citations in the corpus

• A MASS-TRANSPORTATION APPROACH TO SHARP SOBOLEV AND GAGLIARDO-NIRENBERG INEQUALITIES (2004, background): “Considerable effort has been spent recently on the problem of optimal Sobolev inequalities on Riemannian manifolds, see the survey [17] and references therein.”
• Sharp constant and extremal function for the improvedMoser-Trudinger inequality involving $L^p$ norm in two dimension (2009, methodology): “4) For the Moser-Trudinger inequalities and its extremal functions on Riemannian manifolds, we would like to mention the work by Fontana [9], Ding-Jost-Li-Wang [6], Druet-Hebey [7], and in the sub-Riemannian manifolds by Cohn-Lu [4, 5] and the references therein.”