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Zapiski Nauchnykh Seminarov POMI, 2013, Volume 418, Pages 121–135 (Mi znsl5717)  
This article is cited in 2 scientific papers (total in 2 papers)

Some geometrical properties of extremal decompositions

V. O. Kuznetsov

State University of Maritime and Inland Shipping, n. a. Admiral Makarov, St.-Petersburg, Russia
Full-text PDF (255 kB) Citations (2)
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Abstract: Problems on the maximum of the product of conformal radii powers for nonoverlapping simply connected domains are considered. It is proved that the bound of each domain of the extremal decomposition in certain cases is some Jordan curve.
Received: 08.07.2013
English version:
Journal of Mathematical Sciences (New York), 2014, Volume 200, Issue 5, Pages 586–594
DOI: https://doi.org/10.1007/s10958-014-1947-3
Bibliographic databases:
Document Type: Article
UDC: 517.8
Language: Russian
Citation: V. O. Kuznetsov, “Some geometrical properties of extremal decompositions”, Analytical theory of numbers and theory of functions. Part 28, Zap. Nauchn. Sem. POMI, 418, POMI, St. Petersburg, 2013, 121–135; J. Math. Sci. (N. Y.), 200:5 (2014), 586–594
Citation in format AMSBIB
\Bibitem{Kuz13}
\by V.~O.~Kuznetsov
\paper Some geometrical properties of extremal decompositions
\inbook Analytical theory of numbers and theory of functions. Part~28
\serial Zap. Nauchn. Sem. POMI
\yr 2013
\vol 418
\pages 121--135
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5717}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2014
\vol 200
\issue 5
\pages 586--594
\crossref{https://doi.org/10.1007/s10958-014-1947-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84904160088}
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    • 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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