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

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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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     author = {R. R. Salimov},
     title = {On the {Lipschitz} {Property} of a {Class} of {Mappings}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {591--599},
     publisher = {mathdoc},
     volume = {94},
     number = {4},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2013_94_4_a9/}
}
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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/