Geodesic
Boundary behaviour of open discrete mappings on Riemannian manifolds.~II
Sbornik. Mathematics, Tome 211 (2020) no. 4, pp. 539-582

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
Keywords: Riemannian manifold, moduli of families of curves and surfaces, end, mapping with bounded distortion, mapping with finite distortion, Orlicz-Sobolev class. 
@article{SM_2020_211_4_a3,
     author = {D. P. Ilyutko and E. A. Sevost'yanov},
     title = {Boundary behaviour of open discrete mappings on {Riemannian} {manifolds.~II}},
     journal = {Sbornik. Mathematics},
     pages = {539--582},
     publisher = {mathdoc},
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     number = {4},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2020_211_4_a3/}
}
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D. P. Ilyutko; E. A. Sevost'yanov. Boundary behaviour of open discrete mappings on Riemannian manifolds.~II. Sbornik. Mathematics, Tome 211 (2020) no. 4, pp. 539-582. http://geodesic.mathdoc.fr/item/SM_2020_211_4_a3/