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Matematicheskie Zametki, 2011, Volume 90, Issue 2, Pages 216–230
DOI: https://doi.org/10.4213/mzm8744 (Mi mzm8744) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Sufficiency of Polyhedral Surfaces in the Modulus Method and Removable Sets

Yu. V. Dymchenko, V. A. Shlyk

Far Eastern National University
Full-text PDF (552 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm8744
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.
Keywords: modulus of a family of surfaces, condenser, surface separating plates of a condenser, removable set for a modulus of a family of surfaces, polyhedral surface, Lebesgue and Hausdorff measure, Borel function, Hölder inequality.
Received: 16.03.2010
English version:
Mathematical Notes, 2011, Volume 90, Issue 2, Pages 204–217
DOI: https://doi.org/10.1134/S0001434611070200
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: Yu. V. Dymchenko, V. A. Shlyk, “Sufficiency of Polyhedral Surfaces in the Modulus Method and Removable Sets”, Mat. Zametki, 90:2 (2011), 216–230; Math. Notes, 90:2 (2011), 204–217
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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