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Zapiski Nauchnykh Seminarov POMI, 1993, Volume 204, Pages 93–114 (Mi znsl5787)  
This article is cited in 3 scientific papers (total in 3 papers)

Geometric properties of extremal decompositions and estimates for the modulus of families of curves in an annulus

A. Yu. Solynin
Full-text PDF (936 kB) Citations (3)
Abstract: We study the geometric properties of the boundary for problems on extremal decomposition into two domains of an annulus or a rectangle with a barrier removed. Sharp estimates of moduli are proved for certain families of curves bending around the barrier in a canonical domain. Bibliography: 17 titles.
English version:
Journal of Mathematical Sciences, 1996, Volume 79, Issue 5, Pages 1327–1340
DOI: https://doi.org/10.1007/BF02366463
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: A. Yu. Solynin, “Geometric properties of extremal decompositions and estimates for the modulus of families of curves in an annulus”, Analytical theory of numbers and theory of functions. Part 11, Zap. Nauchn. Sem. POMI, 204, Nauka, St. Petersburg, 1993, 93–114; J. Math. Sci., 79:5 (1996), 1327–1340
Citation in format AMSBIB
\Bibitem{Sol93}
\by A.~Yu.~Solynin
\paper Geometric properties of extremal decompositions and estimates for the modulus of families of curves in an annulus
\inbook Analytical theory of numbers and theory of functions. Part~11
\serial Zap. Nauchn. Sem. POMI
\yr 1993
\vol 204
\pages 93--114
\publ Nauka
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5787}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1216870}
\zmath{https://zbmath.org/?q=an:0802.30018|0844.30016}
\transl
\jour J. Math. Sci.
\yr 1996
\vol 79
\issue 5
\pages 1327--1340
\crossref{https://doi.org/10.1007/BF02366463}
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  • https://www.mathnet.ru/eng/znsl/v204/p93
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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