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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, Number 8, Pages 3–15 (Mi ivm7113)  
This article is cited in 2 scientific papers (total in 2 papers)

Convex expansion of condenser plates

V. V. Aseev

Laboratory of Theory of Functions, Institute of Mathematics, Siberian Branch of Russian Academy of Sciences, Novosibirsk, Russia
Full-text PDF (247 kB) Citations (2)
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Abstract: In this paper we consider the Möbius invariant operation of convex expansion of condenser plates in the space $\overline R^n$. In the case $n=2$ we prove that this operation cannot increase the capacity of a condenser with connected plates more than 3 times.
Keywords: condenser, conformal capacity, convexity, Möbius transformation, Möbius invariance, modulus of a curve family, condenser loading.
Received: 06.10.2008
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, Volume 54, Issue 8, Pages 1–11
DOI: https://doi.org/10.3103/S1066369X10080013
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: V. V. Aseev, “Convex expansion of condenser plates”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 8, 3–15; Russian Math. (Iz. VUZ), 54:8 (2010), 1–11
Citation in format AMSBIB
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\by V.~V.~Aseev
\paper Convex expansion of condenser plates
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2010
\issue 8
\pages 3--15
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\transl
\jour Russian Math. (Iz. VUZ)
\yr 2010
\vol 54
\issue 8
\pages 1--11
\crossref{https://doi.org/10.3103/S1066369X10080013}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78649599296}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    References:65
    First page:11
     
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