Salimov R. R.
ORCID: https://orcid.org/0000-0001-9395-3334, Sevost’yanov Е. А.ORCID: https://orcid.org/0000-0001-7892-6186 and Ukhlov A. D.ORCID: https://orcid.org/0000-0001-5560-2488
(2024)
Capacity inequalities and Lipschitz continuity of mappings.
Transactions of A. Razmadze Mathematical Institute. Т. 178, № 1.
pp. 129-135.
ISSN 2346-8092.
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Abstract
Abstract. In this paper, we consider homeomorphic mappings defined by p-capacity inequalities in domains of Rn. In the case p = n − 1, we prove the Lipschitz continuity of such mappings, i.e., the continuity that extends the result due to F. W. Gehring.
| Item Type: | Article |
|---|---|
| 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: | 09 Jun 2024 15:58 |
| Last Modified: | 16 Aug 2025 00:08 |
| URI: | https://eprints.zu.edu.ua/id/eprint/39967 |
| ДСТУ 8302:2015: | Salimov R. R. and Sevost’yanov Е. А. and Ukhlov A. D. Capacity inequalities and Lipschitz continuity of mappings. Transactions of A. Razmadze Mathematical Institute. 2024. Т. 178, № 1. pp. 129-135. |
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