Boundary Values in the Geometric Function Theory in Domains with Moving Boundaries Full article
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Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2024, Volume: 65, Number: 3, Pages: 552–574 Pages count : 23 DOI: 10.1134/S0037446624030054 | ||
| Tags | quasiconformal analysis, prime ends, capacity of a condenser, capacity metric, mappings of finite distortion | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Mathematical Center in Akademgorodok | 075-15-2022-282 |
Abstract:
This article addresses the problem of boundary correspondence for a sequence of homeomorphisms that change the capacity of a condenser in a controlled way. To study the overall boundary behavior of these mappings, we introduce some capacity metrics in 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 for the global uniform convergence of a sequence of homeomorphisms, but some applications to elasticity theory as well.
Cite:
Vodopyanov S.K.
, Pavlov S.V.
Boundary Values in the Geometric Function Theory in Domains with Moving Boundaries
Siberian Mathematical Journal. 2024. V.65. N3. P.552–574. DOI: 10.1134/S0037446624030054 WOS Scopus РИНЦ OpenAlex
Boundary Values in the Geometric Function Theory in Domains with Moving Boundaries
Siberian Mathematical Journal. 2024. V.65. N3. P.552–574. DOI: 10.1134/S0037446624030054 WOS Scopus РИНЦ OpenAlex
Original:
Водопьянов С.К.
, Павлов С.В.
О граничных значениях в геометрической теории функций в областях с подвижными границами
Сибирский математический журнал. 2024. Т.65. №3. С.489-516. DOI: 10.33048/smzh.2024.65.305 РИНЦ
О граничных значениях в геометрической теории функций в областях с подвижными границами
Сибирский математический журнал. 2024. Т.65. №3. С.489-516. DOI: 10.33048/smzh.2024.65.305 РИНЦ
Dates:
| Submitted: | Dec 5, 2023 |
| Accepted: | Apr 8, 2024 |
| Published print: | May 29, 2024 |
| Published online: | May 29, 2024 |
Identifiers:
| Web of science: | WOS:001235366000022 |
| Scopus: | 2-s2.0-85195121271 |
| Elibrary: | 67311442 |
| OpenAlex: | W4399142474 |