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Zapiski Nauchnykh Seminarov POMI, 2008, Volume 357, Pages 54–74 (Mi znsl2119)  
This article is cited in 8 scientific papers (total in 8 papers)

On extremal decomposition problems

V. N. Dubinina, D. A. Kirillovab

a Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences
b Far-Eastern State Social-Humanitarian Academy
Full-text PDF (293 kB) Citations (8)
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Abstract: We adapt the capacity approach and symmetrization method to some extremal decomposition problems on the disk unit or an annulus. We consider the problems on the maximum product of the inner radii of pairwise disjoint domains and the maximum product of the Robin radii of such domains. The new invariants with respect to Möbius transformations of the Riemann sphere are introduced. In particular, for these invariants the problems on extremal decomposition with free poles on the unit circle are investigated. Bibl. – 19 titles.
Received: 01.10.2008
English version:
Journal of Mathematical Sciences (New York), 2009, Volume 157, Issue 4, Pages 573–583
DOI: https://doi.org/10.1007/s10958-009-9342-1
Bibliographic databases:
UDC: 517.54
Language: Russian
Citation: V. N. Dubinin, D. A. Kirillova, “On extremal decomposition problems”, Analytical theory of numbers and theory of functions. Part 23, Zap. Nauchn. Sem. POMI, 357, POMI, St. Petersburg, 2008, 54–74; J. Math. Sci. (N. Y.), 157:4 (2009), 573–583
Citation in format AMSBIB
\Bibitem{DubKir08}
\by V.~N.~Dubinin, D.~A.~Kirillova
\paper On extremal decomposition problems
\inbook Analytical theory of numbers and theory of functions. Part~23
\serial Zap. Nauchn. Sem. POMI
\yr 2008
\vol 357
\pages 54--74
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl2119}
\zmath{https://zbmath.org/?q=an:1182.30036}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2009
\vol 157
\issue 4
\pages 573--583
\crossref{https://doi.org/10.1007/s10958-009-9342-1}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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