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On unique determination of conformal type for domains in Euclidean spaces. / Kopylov, A. P.

в: Lobachevskii Journal of Mathematics, Том 38, № 2, 01.03.2017, стр. 280-289.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Kopylov, AP 2017, 'On unique determination of conformal type for domains in Euclidean spaces', Lobachevskii Journal of Mathematics, Том. 38, № 2, стр. 280-289. https://doi.org/10.1134/S1995080217020111

APA

Kopylov, A. P. (2017). On unique determination of conformal type for domains in Euclidean spaces. Lobachevskii Journal of Mathematics, 38(2), 280-289. https://doi.org/10.1134/S1995080217020111

Vancouver

Kopylov AP. On unique determination of conformal type for domains in Euclidean spaces. Lobachevskii Journal of Mathematics. 2017 март 1;38(2):280-289. doi: 10.1134/S1995080217020111

Author

Kopylov, A. P. / On unique determination of conformal type for domains in Euclidean spaces. в: Lobachevskii Journal of Mathematics. 2017 ; Том 38, № 2. стр. 280-289.

BibTeX

@article{04a69ab94fa2489aaf28906efd80bece,
title = "On unique determination of conformal type for domains in Euclidean spaces",
abstract = "This survey is devoted to discussion of problems of the unique determination of conformal type for domains in Euclidean spaces. It consists of three parts. In the first of them, we consider results on the problem of the unique determination for (generally speaking) nonconvex domains in Rn, where n ≥ 4. The second part is devoted to study of problems on unique determination of convex polyhedral domains in three-dimensional Euclidean space by relative conformal moduli of boundary condensers. Finally, in the third part, we study problems of unique determination of 3-connected plane domains by relative conformal moduli of pairs of boundary components.",
keywords = "boundary condenser, isometric mapping, p-Modulus of path families, quasiconformal and conformal mappings, unique determination, CONVEX POLYHEDRAL DOMAINS, FINITE-LENGTH DISTORTION, MAPPINGS, BOUNDARY CONDENSERS, MODULI",
author = "Kopylov, {A. P.}",
year = "2017",
month = mar,
day = "1",
doi = "10.1134/S1995080217020111",
language = "English",
volume = "38",
pages = "280--289",
journal = "Lobachevskii Journal of Mathematics",
issn = "1995-0802",
publisher = "Maik Nauka Publishing / Springer SBM",
number = "2",

}

RIS

TY - JOUR

T1 - On unique determination of conformal type for domains in Euclidean spaces

AU - Kopylov, A. P.

PY - 2017/3/1

Y1 - 2017/3/1

N2 - This survey is devoted to discussion of problems of the unique determination of conformal type for domains in Euclidean spaces. It consists of three parts. In the first of them, we consider results on the problem of the unique determination for (generally speaking) nonconvex domains in Rn, where n ≥ 4. The second part is devoted to study of problems on unique determination of convex polyhedral domains in three-dimensional Euclidean space by relative conformal moduli of boundary condensers. Finally, in the third part, we study problems of unique determination of 3-connected plane domains by relative conformal moduli of pairs of boundary components.

AB - This survey is devoted to discussion of problems of the unique determination of conformal type for domains in Euclidean spaces. It consists of three parts. In the first of them, we consider results on the problem of the unique determination for (generally speaking) nonconvex domains in Rn, where n ≥ 4. The second part is devoted to study of problems on unique determination of convex polyhedral domains in three-dimensional Euclidean space by relative conformal moduli of boundary condensers. Finally, in the third part, we study problems of unique determination of 3-connected plane domains by relative conformal moduli of pairs of boundary components.

KW - boundary condenser

KW - isometric mapping

KW - p-Modulus of path families

KW - quasiconformal and conformal mappings

KW - unique determination

KW - CONVEX POLYHEDRAL DOMAINS

KW - FINITE-LENGTH DISTORTION

KW - MAPPINGS

KW - BOUNDARY CONDENSERS

KW - MODULI

UR - http://www.scopus.com/inward/record.url?scp=85016935678&partnerID=8YFLogxK

U2 - 10.1134/S1995080217020111

DO - 10.1134/S1995080217020111

M3 - Article

AN - SCOPUS:85016935678

VL - 38

SP - 280

EP - 289

JO - Lobachevskii Journal of Mathematics

JF - Lobachevskii Journal of Mathematics

SN - 1995-0802

IS - 2

ER -

ID: 10264808