Geodesic
On the Lipschitz Property of a Class of Mappings
Matematičeskie zametki, Tome 94 (2013) no. 4, pp. 591-599.

Voir la notice de l'article provenant de la source Math-Net.Ru

Open discrete annular $Q$-mappings with respect to the $p$-modulus in $\mathbb R^n$, $n\ge 2$, are considered in this paper. It is established that such mappings are finite Lipschitz for $n-1$ if the integral mean value of the function $Q(x)$ over all infinitesimal balls $B(x_0,\varepsilon)$ is finite everywhere.
Keywords: open discrete annular $Q$-mapping, $p$-modulus of a family of curves, finite Lipschitz mapping, homeomorphism
Mots-clés : Lebesgue measure, condenser. 
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R. R. Salimov. On the Lipschitz Property of a Class of Mappings. Matematičeskie zametki, Tome 94 (2013) no. 4, pp. 591-599. http://geodesic.mathdoc.fr/item/MZM_2013_94_4_a9/

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