On finitely Lipschitz space mappings

Abstract

It is established that a ring $Q$-homeomorphism with respect to $p$-modulus in ${\mathbb{R}}^n$, $n⩾2,$ is finitely Lipschitz if $n-1<p<n$ and if the mean integral value of $Q(x)$ over infinitisimial balls $B(x_0,\epsilon )$ is finite everywhere.

References in corpus (1)

• On mappings in the Orlicz-Sobolev classes