Boundary behaviour of open discrete mappings on Riemannian manifolds

DOI10.1070/SM8860zbMath1416.30013arXiv1508.03278OpenAlexW2963871974WikidataQ115316507 ScholiaQ115316507MaRDI QIDQ4579939

Evgeny Aleksandrovich Sevost'yanov, D. P. Il'yutko

Publication date: 10 August 2018

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.03278

zbMATH Keywords

Riemannian manifoldSobolev classbounded distortionfinite distortionOrlicz-Sobolev classboundary behaviour of mappings

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Quasiconformal mappings in metric spaces (30L10)

Related Items (16)

On the local and boundary behaviour of mappings of factor spaces ⋮ On global behavior of mappings with integral constraints ⋮ The local behaviour of open, light mappings satisfying generalized modular inequalities ⋮ Boundary behaviour of open, light mappings in metric measure spaces ⋮ The inverse Poletsky inequality in one class of mappings ⋮ Homeomorphisms between Finsler manifolds satisfying the Rohde condition ⋮ On the radial limits of mappings on Riemannian manifolds ⋮ On the boundary extension of mappings on Riemannian surfaces in terms of prime ends ⋮ Quasi-symmetric mappings and their generalizations on Riemannian manifolds ⋮ Boundary behaviour of open discrete mappings on Riemannian manifolds. II ⋮ Logarithmic Hölder continuous mappings and Beltrami equation ⋮ On prime ends on Riemannian manifolds ⋮ Boundary behavior and equicontinuity for families of mappings in terms of prime ends ⋮ On equicontinuous families of mappings of metric spaces ⋮ Cluster sets theorems on metric measure spaces ⋮ On mappings with the inverse Poletsky inequality on Riemannian manifolds

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