Abstract
Open discrete annular Q-mappings with respect to the p-modulus in ℝn, n ≥ 2, are considered in this paper. It is established that such mappings are finite Lipschitz for n − 1 < p < n if the integral mean value of the function Q(x) over all infinitesimal balls B(x 0, ɛ) is finite everywhere.
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Original Russian Text © R. R. Salimov, 2013, published in Matematicheskie Zametki, 2013, Vol. 94, No. 4, pp. 591–599.
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Salimov, R.R. On the lipschitz property of a class of mappings. Math Notes 94, 559–566 (2013). https://doi.org/10.1134/S0001434613090265
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DOI: https://doi.org/10.1134/S0001434613090265