Sharpness of the differentiability almost everywhere and capacitary estimates for Sobolev mappings (Q529996)

Summary: We give sharp conformal conditions for the differentiability in the Sobolev space \(W_{\mathrm{loc}}^{1,n-1}(\Omega,\mathbb{R}^n)\). Furthermore, we show that the space \(W_{\mathrm{loc}}^{1,n-1}(\Omega,\mathbb{R}^n)\) can be considered as the borderline space for some capacitary inequalities.