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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
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.
Received: 27.06.2016
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
Linking options:
https://www.mathnet.ru/eng/vngu450 https://www.mathnet.ru/eng/vngu/v17/i4/p3
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Abstract page: | 249 | Full-text PDF : | 52 | References: | 41 | First page: | 11 |
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