Siberian Journal of Pure and Applied Mathematics
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Siberian Journal of Pure and Applied Mathematics, 2017, Volume 17, Issue 4, Pages 3–17
DOI: https://doi.org/10.17377/PAM.2017.17.1
(Mi vngu450)
 

This article is cited in 1 scientific paper (total in 1 paper)

Unique determination of three-dimensional convex polyhedral domains by relative conformal moduli of boundary condensers

V. V. Aseeva, A. P. Kopylovab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
Full-text PDF (174 kB) Citations (1)
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Abstract: We continue the study of the problem on unique determination of domains in Euclidean spaces by the relative conformal moduli of their boundary condensers. The main result asserts that every convex bounded polyhedral domain in the three-dimensional Euclidean space is uniquely determined by the relative conformal moduli of its boundary condensers. An analogous result was earlier obtained for $n$-dimensional polyhedral domains in the case $n \ge 4$.
Keywords: $p$-modulus of a path family, boundary condenser, conformal mapping, isometry, unique determination.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00875_а
Received: 27.06.2016
Document Type: Article
UDC: 514.772.35
Language: Russian
Citation: V. V. Aseev, A. P. Kopylov, “Unique determination of three-dimensional convex polyhedral domains by relative conformal moduli of boundary condensers”, Sib. J. Pure and Appl. Math., 17:4 (2017), 3–17
Citation in format AMSBIB
\Bibitem{AseKop17}
\by V.~V.~Aseev, A.~P.~Kopylov
\paper Unique determination of three-dimensional convex polyhedral domains by relative conformal moduli of boundary condensers
\jour Sib. J. Pure and Appl. Math.
\yr 2017
\vol 17
\issue 4
\pages 3--17
\mathnet{http://mi.mathnet.ru/vngu450}
\crossref{https://doi.org/10.17377/PAM.2017.17.1}
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  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Сибирский журнал чистой и прикладной математики
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