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Functional properties of limits of Sobolev homeomorphisms with integrable distortion Научная публикация

Журнал

Journal of Mathematical Sciences (United States)
ISSN: 1072-3374 , E-ISSN: 1573-8795

Вых. Данные

Год: 2024, Том: 286, Номер: 3, December, Страницы: 322-342 Страниц : 21 DOI: 10.1007/s10958-024-07508-z

Ключевые слова

class of Sobolev mappings, Carnot group, mapping with ﬁnite distortion, external operator distortion function, limit property of Sobolev mappings, N^{-1}-Luzin property, injectivity almost everywhere

Авторы

Vodopyanov S.K. ¹ , Pavlov S.V. ¹

Организации

1	Novosibirsk State University, Novosibirsk, Russia

Информация о финансировании (1)

Российский научный фонд

23-21-00359

The functional and geometric properties of limits of homeomorphisms with integrable distortion of domains in Carnot groups are studied. The homeomorphisms belong to Sobolev classes.Conditions are obtained under which the limits of sequences of such homeomorphisms also belong tothe Sobolev class, have a ﬁnite distortion, and have the N^{−1}-Luzin property. In the case of Carnot groups of H-type, suﬃcient conditions are obtained that are imposed on domains and a sequence of homeomorphisms under which the limit mapping is injective almost everywhere. These results play a key role in ﬁnding extremal solutions to problems in the mathematical theory of elasticity on H-type Carnot groups, which are the subject of subsequent works by the authors.

Vodopyanov S.K. , Pavlov S.V.
Functional properties of limits of Sobolev homeomorphisms with integrable distortion
Journal of Mathematical Sciences (United States). 2024. V.286. N3, December. P.322-342. DOI: 10.1007/s10958-024-07508-z Scopus РИНЦ OpenAlex

Водопьянов С.К. , Павлов С.В.
Функциональные свойства пределов соболевских гомеоморфизмов с интегрируемым искажением
Современная математика. Фундаментальные направления. 2024. Т.70. №2. С.215-236. DOI: 10.22363/2413-3639-2024-70-2-215-236 РИНЦ

Опубликована в печати:	21 дек. 2024 г.
Опубликована online:	21 дек. 2024 г.

Scopus:	2-s2.0-85212880032
РИНЦ:	80115321
OpenAlex:	W4405660240

БД	Цитирований
Scopus	1