Hardy-Littlewood-Sobolev and related inequalities: stability
Résumé
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).
Mots clés
2020 Mathematics Subject Classification. Primary 49J40
35B40
49K20
49K30
35J20
Secondary 26D10
46E35
35K55 Sobolev inequality
Hardy-Littlewood-Sobolev inequality
Gagliardo-Nirenberg-Sobolev inequalities
Bianchi-Egnell method
concentration-compactness method
spectral gap
Legendre duality
stability
fast diffusion equation
2020 Mathematics Subject Classification. Primary 49J40
Domaines
Analyse fonctionnelle [math.FA]| Origine | Fichiers produits par l'(les) auteur(s) |
|---|