Localized regularity of planar maps of finite distortion

• Olli Hirviniemi ^[1] ; István Prause ^[2] ; Eero Saksmann ^[1]
  1. [1] University of Helsinki

     University of Helsinki

     Helsinki, Finlandia

     
  2. [2] University of Eastern Finland

     University of Eastern Finland

     Kuopio, Finlandia

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 38, Nº 2, 2022, págs. 615-634
• Idioma: inglés
• DOI: 10.4171/RMI/1297
• Texto completo no disponible (Saber más ...)
• Resumen

  • In this article we study fine regularity properties for mappings of finite distortion. Our main theorems yield strongly localized regularity results in the borderline case in the class of maps of exponentially integrable distortion. Analogues of such results were known earlier in the case of quasiconformal mappings. Moreover, we study regularity for maps whose distortion has better than exponential integrability.