Boundary behaviour of open discrete mappings on Riemannian manifolds. II

Autor: D. P. Ilyutko, E. A. Sevost’yanov
Rok vydání: 2020
Předmět:
Zdroj: Sbornik: Mathematics. 211:539-582
ISSN: 1064-5616
DOI: 10.1070/sm9228
Popis: The boundary behaviour of classes of ring mappings, which generalize quasiconformal mappings in the sense of Gehring, is under investigation. Theorems proving that they have continuous boundary extensions are established in terms of prime ends of regular domains. Results on the equicontinuity of mappings in these classes in the closure of a fixed domain are also established in these terms. Bibliography: 45 titles.
Databáze: OpenAIRE