Sobolev maps to manifolds - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2023

Sobolev maps to manifolds

Résumé

Sobolev spaces W^{s,p} (Ω; N) of maps to compact Riemannian manifolds N do not enjoy the standard properties of scalar Sobolev spaces; for example, approximability with smooth N-valued maps may fail. We present selected significant results in several directions, such as lifting, strong approximation property, or singularities, with special focus on the case where 0 < s < 1. The text, in progress, will be updated and extended. By the very nature of the topics treated, these notes have a non-empty intersection with Van Schaftingen's 2019 lecture notes.
Fichier principal
Vignette du fichier
paseky_lectures_20230520.pdf (683.74 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04101540 , version 1 (20-05-2023)

Identifiants

  • HAL Id : hal-04101540 , version 1

Citer

Petru Mironescu. Sobolev maps to manifolds: Graduate course notes. 2023. ⟨hal-04101540⟩
45 Consultations
70 Téléchargements

Partager

Gmail Facebook X LinkedIn More