Desyatka V. S.
ORCID: https://orcid.org/0009-0003-2241-401X, Halyts’ka A. L.ORCID: https://orcid.org/0009-0005-5213-7804 and Sevost’yanov Е. А.ORCID: https://orcid.org/0000-0001-7892-6186
(2026)
On Boundary Extension of Unclosed Orlicz-Sobolev Mappings.
Український математичний вісник. Т. 23, № 1.
pp. 14-39.
ISSN 1810-3200.
DOI: 10.37069/1810-3200-2026-23-1-2.
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Abstract
This paper is devoted to the study of the boundary behavior of Orlicz–Sobolev classes that may not preserve the boundary under mapping. We have shown that under certain conditions, these mappings have a continuous boundary extension of the definition domain. We have also considered the problem of the equicontinuity of families of such mappings in the closure of a fixed domain.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | boundary behavior, Orlicz-Sobolev classes, moduli of families of paths, quasiconformal mappings |
| Subjects: | Q Science > QA Mathematics > QA77 Mathematical Analysis |
| Divisions: | Faculty of Physics and Mathematics > Department of Mathematical Analysis, Business Analytics and Statistics |
| Depositing User: | Євген Олександрович Севостьянов |
| Date Deposited: | 24 Aug 2026 16:35 |
| Last Modified: | 24 Aug 2026 16:37 |
| URI: | https://eprints.zu.edu.ua/id/eprint/49151 |
| ДСТУ 8302:2015: | Desyatka V. S. and Halyts’ka A. L. and Sevost’yanov Е. А. On Boundary Extension of Unclosed Orlicz-Sobolev Mappings. Український математичний вісник. 2026. Т. 23, № 1. pp. 14-39. DOI: 10.37069/1810-3200-2026-23-1-2. |
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