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Sufficiency of polyhedral surfaces in the modulus method and removable sets

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Abstract

The sufficiency of a family of polyhedral surfaces for calculating the modulus of a family of surfaces separating the plates of a condenser in an open set is proved. Geometric properties of removable sets for this modulus are also determined.

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Authors and Affiliations

  1. Far-Eastern Federal University, Vladivostok, Russia

    Yu. V. Dymchenko & V. A. Shlyk

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  1. Yu. V. Dymchenko
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  2. V. A. Shlyk
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Correspondence to Yu. V. Dymchenko.

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Original Russian Text © Yu. V. Dymchenko, V. A. Shlyk, 2011, published in Matematicheskie Zametki, 2011, Vol. 90, No. 2, pp. 216–230.

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Dymchenko, Y.V., Shlyk, V.A. Sufficiency of polyhedral surfaces in the modulus method and removable sets. Math Notes 90, 204 (2011). https://doi.org/10.1134/S0001434611070200

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