# $ACL$ and differentiability of the Open Discrete Ring (p,Q)-Mappings

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We study the so-called ring $(p,Q)$-mappings which are the natural generalization of quasiregular and quasi isometric mappings. It is proved that open discrete ring $(p,Q)$-mappings are differentiable a.e. and belong to the class $ACL$ in ${\Bbb R}^n$, $n\ge 2$, furthermore, $f\in W {loc}^{1,1}$ provided that \$Q\in L^{1} %

Author: R. Salimov; E. Sevostyanov

Source: https://archive.org/