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Sibirskii Matematicheskii Zhurnal, 2020, Volume 61, Number 4, Pages 796–802
DOI: https://doi.org/10.33048/smzh.2020.61.406 (Mi smj6020) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Asymptotics for the capacity of a condenser with variable potential levels

V. N. Dubininab

a Far Eastern Federal University, Vladivostok
b Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok
Full-text PDF (389 kB) Citations (5)
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DOI: https://doi.org/10.33048/smzh.2020.61.406
Abstract: The asymptotic formula is obtained for the capacity of a generalized condenser when parts of its plates contract to prescribed points. In contrast to the previous studies of capacity, we consider condensers with variable potential levels and establish the third term of the asymptotics.
Keywords: asymptotic formula, conformal capacity, condenser, Green's function.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2020-1482-1
The author was supported by the Ministry of Science and Education of the Russian Federation (Grant 075–02–2020–1482–1).
Received: 11.12.2019
Revised: 11.12.2019
Accepted: 17.06.2020
English version:
Siberian Mathematical Journal, 2020, Volume 61, Issue 4, Pages 626–631
DOI: https://doi.org/10.1134/S0037446620040060
Bibliographic databases:
Document Type: Article
UDC: 517.54
MSC: 35R30
Language: Russian
Citation: V. N. Dubinin, “Asymptotics for the capacity of a condenser with variable potential levels”, Sibirsk. Mat. Zh., 61:4 (2020), 796–802; Siberian Math. J., 61:4 (2020), 626–631
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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