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Mathematics of the USSR-Sbornik, 1970, Volume 12, Issue 2, Pages 260–270
DOI: https://doi.org/10.1070/SM1970v012n02ABEH000921 (Mi sm3512) 		 
This article is cited in 30 scientific papers (total in 30 papers)

The modulus method for nonhomeomorphic quasiconformal mappings

E. A. Poletskii
English version PDF (692 kB) Citations (30)
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DOI: https://doi.org/10.1070/SM1970v012n02ABEH000921
Abstract: The modulus method is one of the most effective methods in the theory of quasiconformal homeomorphisms. Over the course of a long time there has been no success, however, in applying this method to the analysis of nonhomeomorphic quasiconformal mappings of spatial domains.
In the present paper inequalities are established for the moduli of families of curves corresponding with each other under a certain, not necessarily homeomorphic, quasiconformal mapping. These inequalities are applied to the study of the relation of dilatation with the minimal multiplicity of a ramification of such mappings.
Bibliography: 7 titles.
Received: 03.02.1970
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1970, Volume 83(125), Number 2(10), Pages 261–272
Bibliographic databases:
UDC: 517.54
MSC: 30C65, 30C20, 30C35
Language: English
Original paper language: Russian
Citation: E. A. Poletskii, “The modulus method for nonhomeomorphic quasiconformal mappings”, Mat. Sb. (N.S.), 83(125):2(10) (1970), 261–272; Math. USSR-Sb., 12:2 (1970), 260–270
Citation in format AMSBIB
\Bibitem{Pol70}
\by E.~A.~Poletskii
\paper The modulus method for nonhomeomorphic quasiconformal mappings
\jour Mat. Sb. (N.S.)
\yr 1970
\vol 83(125)
\issue 2(10)
\pages 261--272
\mathnet{http://mi.mathnet.ru/sm3512}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=274753}
\zmath{https://zbmath.org/?q=an:0207.37603}
\transl
\jour Math. USSR-Sb.
\yr 1970
\vol 12
\issue 2
\pages 260--270
\crossref{https://doi.org/10.1070/SM1970v012n02ABEH000921}
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    • This publication is cited in the following 30 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:402
    Russian version PDF:170
    English version PDF:19
    References:35
     
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