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Mathematics of the USSR-Sbornik, 1987, Volume 58, Issue 1, Pages 185–205
DOI: https://doi.org/10.1070/SM1987v058n01ABEH003099 (Mi sm1864) 		 
This article is cited in 62 scientific papers (total in 62 papers)

Capacity of condensers and spatial mappings quasiconformal in the mean

V. I. Kruglikov
English version PDF (1055 kB) Citations (62)
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DOI: https://doi.org/10.1070/SM1987v058n01ABEH003099
Abstract: With the concept of the variational $p$-capacity of a condenser as a starting point, the mean inner and outer deviations are defined for homeomorphic mappings of bounded domains in $R^n$, $n\geqslant3$. Analytic expressions which are integral means of the usual analytic deviations of a homeomorphism are established for such deviations. Various equivalent geometric and analytic definitions are given for mappings quasiconformal in the mean and for quasiconformal mappings. An estimate is determined for the distortion of Euclidean distances under mappings quasiconformal in the mean and other mappings.
Bibliography: 14 titles.
Received: 22.04.1985
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1986, Volume 130(172), Number 2(6), Pages 185–206
Bibliographic databases:
UDC: 517.5
MSC: Primary 30C60, 31B15, 58C99; Secondary 30C85
Language: English
Original paper language: Russian
Citation: V. I. Kruglikov, “Capacity of condensers and spatial mappings quasiconformal in the mean”, Mat. Sb. (N.S.), 130(172):2(6) (1986), 185–206; Math. USSR-Sb., 58:1 (1987), 185–205
Citation in format AMSBIB
\Bibitem{Kru86}
\by V.~I.~Kruglikov
\paper Capacity of condensers and spatial mappings quasiconformal in the mean
\jour Mat. Sb. (N.S.)
\yr 1986
\vol 130(172)
\issue 2(6)
\pages 185--206
\mathnet{http://mi.mathnet.ru/sm1864}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=854971}
\zmath{https://zbmath.org/?q=an:0619.30025}
\transl
\jour Math. USSR-Sb.
\yr 1987
\vol 58
\issue 1
\pages 185--205
\crossref{https://doi.org/10.1070/SM1987v058n01ABEH003099}
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    • This publication is cited in the following 62 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:705
    Russian version PDF:318
    English version PDF:17
    References:51
     
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