Sharpness of the differentiability almost everywhere and capacitary estimates for Sobolev mappings

  • Stanislav Hencl

    Charles University, Prague, Czech Republic
  • Ville Tengvall

    University of Jyväskylä, Finland

Abstract

We give sharp conformal conditions for the differentiability in the Sobolev space . Furthermore, we show that the space can be considered as the borderline space for some capacitary inequalities.

Cite this article

Stanislav Hencl, Ville Tengvall, Sharpness of the differentiability almost everywhere and capacitary estimates for Sobolev mappings. Rev. Mat. Iberoam. 33 (2017), no. 2, pp. 595–622

DOI 10.4171/RMI/951