Sevost’yanov Е. А.
ORCID: https://orcid.org/0000-0001-7892-6186, Ilkevych N. S.ORCID: https://orcid.org/0000-0003-0999-2299 and Desyatka V. S.ORCID: https://orcid.org/0009-0003-2241-401X
(2026)
On boundary distortion estimates of plane Sobolev mappings.
Carpathian Mathematical Publications. Т. 18, № 1.
pp. 117-134.
ISSN 2075-9827.
DOI: 10.15330/cmp.18.1.117-134.
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Abstract
We study mappings of the Sobolev classes defined in some plane domain. We have obtained estimates of the distortion of the distance under these mappings at the boundary. In particular, we have proved that if the integral averages of the characteristic of mappings are finite, then these mappings are Hölder continuous.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | quasiconformal mapping, mapping with finite distortion, Sobolev mapping, Hölder continuity, Lipschitz continuity |
| 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: | 08 Jun 2026 18:48 |
| Last Modified: | 08 Jun 2026 18:48 |
| URI: | https://eprints.zu.edu.ua/id/eprint/48274 |
| ДСТУ 8302:2015: | Sevost’yanov Е. А. and Ilkevych N. S. and Desyatka V. S. On boundary distortion estimates of plane Sobolev mappings. Carpathian Mathematical Publications. 2026. Т. 18, № 1. pp. 117-134. DOI: 10.15330/cmp.18.1.117-134. |
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