$ACL$ and differentiability of open discrete ring $(p,Q)$-mappings
Journal: Matematychni Studii (Vol.35, No. 1)Publication Date: 2011-01-01
Authors : Salimov R. R.; Sevost'yanov E. A.;
Page : 28-36
Keywords : $(p; Q)$-mapping; quasiregular mappings;
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 $Q.$
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