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Zapiski Nauchnykh Seminarov POMI, 2013, Volume 418, Pages 74–89 (Mi znsl5714)  
This article is cited in 2 scientific papers (total in 2 papers)

The relation between capacity of condenser and module of the separated surfaces in Finsler spaces

Yu. V. Dymchenko

Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences, Vladivostok, Russia
Full-text PDF (268 kB) Citations (2)
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Abstract: In this paper, the existence and uniqueness of extremal functions for capacity of condenser and module of the family of curves in Finsler spaces has been proved. Also it is proved the relation between capacity of condenser and module of the separating surfaces in Finsler spaces.
Key words and phrases: condencer capacity, module of curve family, family of separating surfaces, Finsler space.
Received: 20.06.2013
English version:
Journal of Mathematical Sciences (New York), 2014, Volume 200, Issue 5, Pages 559–567
DOI: https://doi.org/10.1007/s10958-014-1944-6
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: Yu. V. Dymchenko, “The relation between capacity of condenser and module of the separated surfaces in Finsler spaces”, Analytical theory of numbers and theory of functions. Part 28, Zap. Nauchn. Sem. POMI, 418, POMI, St. Petersburg, 2013, 74–89; J. Math. Sci. (N. Y.), 200:5 (2014), 559–567
Citation in format AMSBIB
\Bibitem{Dym13}
\by Yu.~V.~Dymchenko
\paper The relation between capacity of condenser and
module of the separated surfaces in Finsler spaces
\inbook Analytical theory of numbers and theory of functions. Part~28
\serial Zap. Nauchn. Sem. POMI
\yr 2013
\vol 418
\pages 74--89
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5714}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2014
\vol 200
\issue 5
\pages 559--567
\crossref{https://doi.org/10.1007/s10958-014-1944-6}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84904211886}
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  • https://www.mathnet.ru/eng/znsl/v418/p74
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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