ResearchBib Share Your Research, Maximize Your Social Impacts
Sign for Notice Everyday Sign up >> Login

$ACL$ and differentiability of open discrete ring $(p,Q)$-mappings

Journal: Matematychni Studii (Vol.35, No. 1)

Publication Date:

Authors : ; ;

Page : 28-36

Keywords : $(p; Q)$-mapping; quasiregular mappings;

Source : Downloadexternal Find it from : Google Scholarexternal

Abstract

We study the so-called $(p,Q)$-mappings which naturally generalize quasiregular mappings. It is proved that open discrete ring $(p,Q)$-mappings are differentiable almost everywhere as $p>n-1$ and locally integrable $Q.$ Furthermore, we prove that open discrete $(p,Q)$-mappings belong to the class $ACL$ in ${Bbb R}^n$ and $fin W_{rm loc}^{1,1}$ the same conditions on $p$ and $Q.$

Last modified: 2014-01-13 19:57:03