Partial regularity for fractional harmonic maps into spheres - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2020

Partial regularity for fractional harmonic maps into spheres

Marc Pegon

Résumé

This article addresses the regularity issue for stationary or minimizing fractional harmonic maps into spheres of order s ∈ (0, 1) in arbitrary dimensions. It is shown that such fractional harmonic maps are C ∞ away from a small closed singular set. The Hausdorff dimension of the singular set is also estimated in terms of s ∈ (0, 1) and the stationar-ity/minimality assumption.
Fichier principal
Vignette du fichier
MPS-Arxiv2.pdf (660.74 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-02297231 , version 1 (25-09-2019)
hal-02297231 , version 2 (16-01-2020)
hal-02297231 , version 3 (12-10-2020)

Identifiants

  • HAL Id : hal-02297231 , version 2

Citer

Vincent Millot, Marc Pegon, Armin Schikorra. Partial regularity for fractional harmonic maps into spheres. 2020. ⟨hal-02297231v2⟩
302 Consultations
163 Téléchargements

Partager

Gmail Mastodon Facebook X LinkedIn More