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

Boundary Values in the Geometric Function Theory in Domains with Moving Boundaries Full article

Journal

Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260

Output data

Year: 2024, Volume: 65, Number: 3, Pages: 552–574 Pages count : 23 DOI: 10.1134/S0037446624030054

Funding (1)

Mathematical Center in Akademgorodok

075-15-2022-282

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.

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

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

Submitted:	Dec 5, 2023
Accepted:	Apr 8, 2024
Published print:	May 29, 2024
Published online:	May 29, 2024

Web of science:	WOS:001235366000022
Scopus:	2-s2.0-85195121271
Elibrary:	67311442
OpenAlex:	W4399142474

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