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Dal'nevostochnyi Matematicheskii Zhurnal, 2022, Volume 22, Number 1, Pages 55–60
DOI: https://doi.org/10.47910/FEMJ202205 (Mi dvmg468) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the condensers with variable plates, potential levels and domain of definition

V. N. Dubinina, V. Yu. Kimb

a Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok
b Far Eastern Federal University, Vladivostok
Full-text PDF (128 kB) Citations (2)
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DOI: https://doi.org/10.47910/FEMJ202205
Abstract: The asymptotic formula is obtained for the capacity of a generalized condenser when parts of its plates contract to prescribed points. We consider condenser with variable potential levels and a set of definition that tends to a predetermined domain.
Key words: asymptotic formula, conformal capacity, condenser, Green’s function.
Funding agency Grant number
Russian Foundation for Basic Research 20-01-00018
The study was carried out within the framework of NIOKTR No. AAAAA 20-120112690042-0 with the financial support of the Russian Foundation for Basic Research (project No. 20-01-00018).
Received: 18.04.2022
Bibliographic databases:
Document Type: Article
UDC: 517.54
MSC: Primary 30C75; Secondary 30C85
Language: Russian
Citation: V. N. Dubinin, V. Yu. Kim, “On the condensers with variable plates, potential levels and domain of definition”, Dal'nevost. Mat. Zh., 22:1 (2022), 55–60
Citation in format AMSBIB
\Bibitem{DubKim22}
\by V.~N.~Dubinin, V.~Yu.~Kim
\paper On the condensers with variable plates, potential levels and domain of definition
\jour Dal'nevost. Mat. Zh.
\yr 2022
\vol 22
\issue 1
\pages 55--60
\mathnet{http://mi.mathnet.ru/dvmg468}
\crossref{https://doi.org/10.47910/FEMJ202205}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4448028}
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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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