Sharpness of the differentiability almost everywhere and capacitary estimates for Sobolev mappings Stanislav Hencl and Ville Tengvall

• Stanislav Hencl ^[1] ; Ville Tengvall ^[2]
  1. [1] Charles University in Prague

     Charles University in Prague

     Chequia

     
  2. [2] University of Jyväskylä

     University of Jyväskylä

     Jyväskylä, Finlandia

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 33, Nº 2, 2017, págs. 595-622
• Idioma: inglés
• DOI: 10.4171/RMI/951
• Texto completo no disponible (Saber más ...)
• Resumen

  • We give sharp conformal conditions for the differentiability in the Sobolev space W1,n−1loc(Ω,Rn). Furthermore, we show that the space W1,n−1loc(Ω,Rn) can be considered as the borderline space for some capacitary inequalities.