Boundary behaviour of open discrete mappings on Riemannian manifolds. II

DOI10.1070/SM9228zbMath1467.30015OpenAlexW4251482832WikidataQ115316338 ScholiaQ115316338MaRDI QIDQ3304390

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

Publication date: 31 July 2020

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

Full work available at URL: https://doi.org/10.1070/sm9228

zbMATH Keywords

mapping with bounded distortionprime endOrlicz-Sobolev classmapping with finite distortionmoduli of families of curves and surfaces

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Continuity properties of mappings on manifolds (58C07) Quasiconformal mappings in metric spaces (30L10)

Related Items (4)

On the radial limits of mappings on Riemannian manifolds ⋮ On equicontinuity of families of mappings between Riemannian surfaces with respect to prime ends ⋮ On mappings with the inverse Poletsky inequality on Riemannian manifolds ⋮ On equicontinuity of the families of mappings with one normalization condition in terms of prime ends

Cites Work

• Prime ends for domains in metric spaces
• On uniform equicontinuity of generalized quasiisometries on Riemannian manifolds
• The Beltrami equation. A geometric approach
• Extremal length and functional completion
• The Beltrami equations and prime ends
• Prime ends and quasiconformal mappings
• Conformal geometry and quasiregular mappings
• The equality between \(p\)-capacity and \(p\)-modulus
• Generalized quasi-isometries on smooth Riemannian manifolds
• Boundary behavior of ring \(Q\)-homeomorphisms on Riemannian manifolds
• On mappings in the Orlicz--Sobolev classes on Riemannian manifolds
• On conformal dilatation in space
• On the boundary behavior of one class of mappings in metric spaces
• On the equicontinuity of homeomorphisms of Orlicz and Orlicz-Sobolev classes in the closure of a domain
• Extremal length and p-capacity
• Lectures on \(n\)-dimensional quasiconformal mappings
• Prime ends and Orlicz–Sobolev classes
• Open discrete mappings with unbounded coefficient of quasi-conformality on Riemannian manifolds
• Traces of functions of $L^1_2$ Dirichlet spaces on the Carathéodory boundary
• Toward the theory of Orlicz–Sobolev classes
• Equicontinuity of homeomorphisms with unbounded characteristic
• Boundary behavior of ring Q-homeomorphisms in metric spaces
• Non-conformal Loewner type estimates for modulus of curve families
• Open discrete mappings having local ACL ⁿ inverses
• Moduli in Modern Mapping Theory
• On convergence theorems for space quasiregular mappings
• Boundary behaviour of open discrete mappings on Riemannian manifolds
• Boundary behavior and equicontinuity for families of mappings in terms of prime ends
• Extremal Length and Conformal Capacity
• THE MODULUS METHOD FOR NONHOMEOMORPHIC QUASICONFORMAL MAPPINGS
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