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On the boundary extension of mappings on Riemannian surfaces

Zhytomyr State University Library

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Relation http://eprints.zu.edu.ua/40575/
 
Title On the boundary extension of mappings on Riemannian surfaces
 
Creator Sevost’yanov, Е. А.
Dovhopiatyi, O. P.
Ilkevych, N. S.
Kalenska, V. P.
 
Subject Математичний аналіз
 
Description We investigate non-homeomorphic mappings of the Riemannian surfaces of Sobolev class. Some distortion estimates have been obtained for the moduli of families of paths. We have proved that under some conditions, these mappings have a continuous extension to the boundary of a domain in terms of prime ends.
 
Publisher Springer Science+Business Media
 
Date 2023
 
Type Стаття
PeerReviewed
 
Format text
 
Language en
english
 
Identifier http://eprints.zu.edu.ua/40575/1/SDIK_2023.pdf
Sevost’yanov, Е. А., Dovhopiatyi, O. P., Ilkevych, N. S., Kalenska, V. P. (2023) On the boundary extension of mappings on Riemannian surfaces. Journal of Mathematical Sciences, 274 (3). с. 370-382. ISSN 1072-3374