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Hardy-Littlewood-Sobolev and related inequalities : stability

Dolbeault, Jean; Esteban, Maria J. (2022), Hardy-Littlewood-Sobolev and related inequalities : stability, in Rupert L. Frank, Ari Laptev, Mathieu Lewin, Robert Seiringer, The Physics and Mathematics of Elliott Lieb The 90th Anniversary, Volume I, EMS - Editions Management et Sociétés, p. 247-268. 10.4171/90-1/11

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Type
Chapitre d'ouvrage
Date
2022
Book title
The Physics and Mathematics of Elliott Lieb The 90th Anniversary, Volume I
Book author
Rupert L. Frank, Ari Laptev, Mathieu Lewin, Robert Seiringer
Publisher
EMS - Editions Management et Sociétés
ISBN
978-3-98547-021-1
Number of pages
600
Pages
247-268
Publication identifier
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Author(s)
Dolbeault, Jean cc
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Esteban, Maria J. cc
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Abstract (EN)
The purpose of this text is twofold. We present a review of the existing stability results for Sobolev, Hardy-Littlewood-Sobolev (HLS) and related inequalities. We also contribute to the topic with some observations on constructive stability estimates for (HLS).
Subjects / Keywords
Sobolev inequality; Hardy-Littlewood-Sobolev inequality; Gagliardo-Nirenberg-Sobolev inequalities; Bianchi-Egnell method; concentration-compactness method; spectral gap; Legendre duality; stability; fast diffusion equation