Nonlinear Elasticity Problems on Carnot Groups and Quasiconformal Analysis Full article
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Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2025, Volume: 66, Number: 3, Pages: 672-690 Pages count : 19 DOI: 10.1134/S0037446625030085 | ||||
| Tags | quasiconformal analysis, finite distortion, distortion function, composition operator, nonlinear elasticity, polyconvex function | ||||
| Authors |
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| Affiliations |
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Funding (2)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0006 |
| 2 | Mathematical Center in Akademgorodok | 075-15-2025-349 |
Abstract:
It is known that the limit of a sequence of quasiconformal mappings, that is, homeomorphisms with bounded distortion whose distortion coefficients are jointly bounded, is either quasiconformal or a constant mapping. In this paper, it is shown that an analogous property holds, in the setting of Carnot groups of Heisenberg type, for a certain class of orientation-preserving homeomorphisms with finite distortion whose distortion function is integrable to a suitable power. This result is applied to the search for bijective solutions to variational problems analogous to nonlinear elasticity problems in irregular domains.
Cite:
Vodopyanov S.K.
, Pavlov S.V.
Nonlinear Elasticity Problems on Carnot Groups and Quasiconformal Analysis
Siberian Mathematical Journal. 2025. V.66. N3. P.672-690. DOI: 10.1134/S0037446625030085 WOS Scopus РИНЦ OpenAlex
Nonlinear Elasticity Problems on Carnot Groups and Quasiconformal Analysis
Siberian Mathematical Journal. 2025. V.66. N3. P.672-690. DOI: 10.1134/S0037446625030085 WOS Scopus РИНЦ OpenAlex
Original:
Водопьянов С.К.
, Павлов С.В.
Задачи нелинейной теории упругости на группах Карно и квазиконформный анализ
Сибирский математический журнал. 2025. Т.66. №3. С.416-437. DOI: 10.33048/smzh.2025.66.308
Задачи нелинейной теории упругости на группах Карно и квазиконформный анализ
Сибирский математический журнал. 2025. Т.66. №3. С.416-437. DOI: 10.33048/smzh.2025.66.308
Dates:
| Submitted: | Apr 1, 2024 |
| Accepted: | Apr 25, 2025 |
| Published print: | Jun 2, 2025 |
| Published online: | Jun 2, 2025 |
Identifiers:
| Web of science: | WOS:001500903100018 |
| Scopus: | 2-s2.0-105007082320 |
| Elibrary: | 82395834 |
| OpenAlex: | W4410947103 |
Citing:
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