Standard

Boundary Values in the Geometric Function Theory in Domains with Moving Boundaries. / Vodopyanov, S. K.; Pavlov, S. V.

In: Siberian Mathematical Journal, Vol. 65, No. 3, 05.2024, p. 552-574.

Research output: Contribution to journal › Article › peer-review

Harvard

Vodopyanov, SK & Pavlov, SV 2024, 'Boundary Values in the Geometric Function Theory in Domains with Moving Boundaries', Siberian Mathematical Journal, vol. 65, no. 3, pp. 552-574. https://doi.org/10.1134/S0037446624030054

APA

Vodopyanov, S. K., & Pavlov, S. V. (2024). Boundary Values in the Geometric Function Theory in Domains with Moving Boundaries. Siberian Mathematical Journal, 65(3), 552-574. https://doi.org/10.1134/S0037446624030054

Vancouver

Vodopyanov SK, Pavlov SV. Boundary Values in the Geometric Function Theory in Domains with Moving Boundaries. Siberian Mathematical Journal. 2024 May;65(3):552-574. doi: 10.1134/S0037446624030054

Author

Vodopyanov, S. K. ; Pavlov, S. V. / Boundary Values in the Geometric Function Theory in Domains with Moving Boundaries. In: Siberian Mathematical Journal. 2024 ; Vol. 65, No. 3. pp. 552-574.

BibTeX

@article{87ebc4bbc46f4403808f85e6d4a84d44,
title = "Boundary Values in the Geometric Function Theory in Domains with Moving Boundaries",
abstract = "This article addresses the problem of boundary correspondencefor a sequence of homeomorphisms thatchange the capacity of a condenser in a controlled way.To study the overall boundary behavior of these mappings,we introduce some capacity metricsin a sequence of domains with nondegenerate core.Completions with respect to these metrics add to the domains new points called boundary elements.As one of the consequences, we obtain not only sufficient conditions forthe global uniform convergence of a sequence of homeomorphisms,but some applications to elasticity theory as well.",
keywords = "517.518:517.54, capacity metric, capacity of a condenser, mappings of finite distortion, prime ends, quasiconformal analysis",
author = "Vodopyanov, {S. K.} and Pavlov, {S. V.}",
note = "The work was supported by the Mathematical Center in Akademgorodok under Agreement 075–15–2022–282 with the Ministry of Science and Higher Education of the Russian Federation.",
year = "2024",
month = may,
doi = "10.1134/S0037446624030054",
language = "English",
volume = "65",
pages = "552--574",
journal = "Siberian Mathematical Journal",
issn = "0037-4466",
publisher = "MAIK NAUKA/INTERPERIODICA/SPRINGER",
number = "3",

}

RIS

TY - JOUR

T1 - Boundary Values in the Geometric Function Theory in Domains with Moving Boundaries

AU - Vodopyanov, S. K.

AU - Pavlov, S. V.

N1 - The work was supported by the Mathematical Center in Akademgorodok under Agreement 075–15–2022–282 with the Ministry of Science and Higher Education of the Russian Federation.

PY - 2024/5

Y1 - 2024/5

N2 - This article addresses the problem of boundary correspondencefor a sequence of homeomorphisms thatchange the capacity of a condenser in a controlled way.To study the overall boundary behavior of these mappings,we introduce some capacity metricsin a sequence of domains with nondegenerate core.Completions with respect to these metrics add to the domains new points called boundary elements.As one of the consequences, we obtain not only sufficient conditions forthe global uniform convergence of a sequence of homeomorphisms,but some applications to elasticity theory as well.

AB - This article addresses the problem of boundary correspondencefor a sequence of homeomorphisms thatchange the capacity of a condenser in a controlled way.To study the overall boundary behavior of these mappings,we introduce some capacity metricsin a sequence of domains with nondegenerate core.Completions with respect to these metrics add to the domains new points called boundary elements.As one of the consequences, we obtain not only sufficient conditions forthe global uniform convergence of a sequence of homeomorphisms,but some applications to elasticity theory as well.

KW - 517.518:517.54

KW - capacity metric

KW - capacity of a condenser

KW - mappings of finite distortion

KW - prime ends

KW - quasiconformal analysis

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85195121271&origin=inward&txGid=3a228dad46482268430787a267366a96

UR - https://www.mendeley.com/catalogue/accb86f4-3ca9-3833-8ede-86c55376f125/

U2 - 10.1134/S0037446624030054

DO - 10.1134/S0037446624030054

M3 - Article

VL - 65

SP - 552

EP - 574

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 3

ER -

ID: 61042534