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Problemy Analiza — Issues of Analysis, 2021, Volume 10(28), Issue 3, Pages 141–150
DOI: https://doi.org/10.15393/j3.art.2021.10410 (Mi pa337) 		 
About one problem on extremal decomposition

Ya. Zabolotnii, I. Denega

Institute of Mathematics of the National Academy of Sciences of Ukraine, 3, Tereschenkivska st., Kyiv-4 01024, Ukraine
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DOI: https://doi.org/10.15393/j3.art.2021.10410
URL: https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=10410%26lang=ru
Abstract: In the paper, we consider an open problem of finding the maximum of product of inner radii of mutually non-overlapping domains with respect to the points of the unit circle on a certain positive degree $\gamma$ of the inner radius of the domain with respect to the origin, moreover, the domain containing origin does not intersect with other domains.
Keywords: inner radius of the domain, mutually non-overlapping domains, the Green function, quadratic differential, the Dubinin problem.
Received: 10.06.2021
Revised: 26.07.2021
Accepted: 08.08.2021
Bibliographic databases:
Document Type: Article
UDC: 517.54
MSC: 30C75
Language: English
Citation: Ya. Zabolotnii, I. Denega, “About one problem on extremal decomposition”, Probl. Anal. Issues Anal., 10(28):3 (2021), 141–150
Citation in format AMSBIB
\Bibitem{ZabDen21}
\by Ya.~Zabolotnii, I.~Denega
\paper About one problem on extremal decomposition
\jour Probl. Anal. Issues Anal.
\yr 2021
\vol 10(28)
\issue 3
\pages 141--150
\mathnet{http://mi.mathnet.ru/pa337}
\crossref{https://doi.org/10.15393/j3.art.2021.10410}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000697461800001}
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