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

Stanislav Hencl, Ville Tengvall

• 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.