Interior partial regularity for minimal Lp-vector fields with integer fluxes

• Mircea Petrache ^[1]
  1. [1] Max Planck Institute for Mathematics in the Sciences

     Max Planck Institute for Mathematics in the Sciences

     Kreisfreie Stadt Leipzig, Alemania

     
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 14, Nº 4, 2015, págs. 1119-1156
• Idioma: inglés
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• Resumen

  • We use a new combinatorial technique to prove the optimal interior partial regularity result for L p-vector fields with integer fluxes that minimize the L p-energy. More precisely, we prove that the minimizing vector fields are Hölder continuous outside a set that is locally finite inside the domain. The results continue the program started in [25], but this paper is self-contained.