Capacity inequalities and Lipschitz continuity of mappings

Salimov, R., Sevost’yanov, Е. А., Ukhlov, Aleksandr (2024) Capacity inequalities and Lipschitz continuity of mappings. Transactions of A. Razmadze Mathematical Institute, 178 (1). pp. 129-135.

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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 > Mathematical Analysis
Depositing User: Євген Севостьянов
Date Deposited: 09 Jun 2024 12:58
Last Modified: 09 Jun 2024 12:58
URI: http://eprints.zu.edu.ua/id/eprint/39967

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