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On Mappings with Asymptotic Homogeneity at Infinity and Beltrami Equations

Gutlyanskii V. Ya.ORCID: https://orcid.org/0000-0002-8691-4617, Ryazanov V. I.ORCID: https://orcid.org/0000-0002-4503-4939, Sevost’yanov Е. А.ORCID: https://orcid.org/0000-0001-7892-6186 and Yakubov E. H.ORCID: https://orcid.org/0000-0002-2744-1338 (2021) On Mappings with Asymptotic Homogeneity at Infinity and Beltrami Equations. Праці Інституту прикладної математики і механіки НАН України. Т. 35, № 2. pp. 100-124. ISSN 1683-4720. DOI: 10.37069/1683-4720-2021-35-8.

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Abstract

We establish here some criteria for the existence of regular homeomorphic solutions of the degenerate Beltrami equations in the complex plane with asymptotic homogeneity at infinity.

Item Type: Article
Uncontrolled Keywords: degenerate Beltrami equations, conformality by Belinskij and conformality by Lavrent'iev, asymptotic homogeneity at infinity
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: 27 Aug 2026 00:00
Last Modified: 27 Aug 2026 00:01
URI: https://eprints.zu.edu.ua/id/eprint/49178
ДСТУ 8302:2015: On Mappings with Asymptotic Homogeneity at Infinity and Beltrami Equations / V. Ya. Gutlyanskii та ін. Праці Інституту прикладної математики і механіки НАН України. 2021. Т. 35, № 2. pp. 100-124. DOI: 10.37069/1683-4720-2021-35-8.

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