Geodesic
ACL and differentiability of a generalization of quasi-conformal maps
Izvestiya. Mathematics , Tome 72 (2008) no. 5, pp. 977-984.

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It is established that $Q$-homeomorphisms (in the sense of O. Martio) defined in $\mathbb{R}^n$, $n\geqslant2$, are absolutely continuous on lines. Furthermore, they belong to the Sobolev class $W_{\mathrm{loc}}^{1,1}$ and are differentiable almost everywhere for $Q\in L^{1}_{\mathrm{loc}}$. 
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R. R. Salimov. ACL and differentiability of a generalization of quasi-conformal maps. Izvestiya. Mathematics , Tome 72 (2008) no. 5, pp. 977-984. http://geodesic.mathdoc.fr/item/IM2_2008_72_5_a3/

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