On nonhomeomorphic mappings with the inverse Poletsky inequality

DOI10.1007/s10958-020-05179-0zbMath1461.30056OpenAlexW3118736690MaRDI QIDQ2226905

O. P. Dovhopiatyi, S. O. Skvortsov, Evgeny Aleksandrovich Sevost'yanov

Publication date: 9 February 2021

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-020-05179-0

zbMATH Keywords

boundary behaviormappings with bounded distortionPoletsky inequality

Mathematics Subject Classification ID

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

Related Items (13)

On mappings with the inverse Poletsky inequality in metric spaces ⋮ On distortions of the transfinite diameter of disk image ⋮ The inverse Poletsky inequality in one class of mappings ⋮ On compact classes of Beltrami solutions and Dirichlet problem ⋮ On the radial limits of mappings on Riemannian manifolds ⋮ On the distortion of the disk image diameter ⋮ On compact classes of solutions of Dirichlet problem in simply connected domains ⋮ On the inverse Poletsky inequality in metric spaces and prime ends ⋮ On the existence of solutions of the Beltrami equations with conditions on inverse dilatations ⋮ Logarithmic Hölder continuous mappings and Beltrami equation ⋮ On the compactness of classes of the solutions of the Dirichlet problem ⋮ Boundary extensions of mappings satisfying the Poletsky inverse inequality in terms of prime ends ⋮ On mappings with the inverse Poletsky inequality on Riemannian manifolds

Cites Work

• The Beltrami equation. A geometric approach
• The Beltrami equations and prime ends
• On the existence of angular limits of \(n\)-dimensional quasiconformal mappings
• Conformal geometry and quasiregular mappings
• Infinitesimal geometry of quasiconformal and bi-Lipschitz mappings in the plane
• On the local behavior of a class of inverse mappings
• On the convergence of mappings in metric spaces with direct and inverse modulus conditions
• Lectures on \(n\)-dimensional quasiconformal mappings
• On open and discrete mappings with a modulus condition
• Boundary behavior of ring Q-homeomorphisms in metric spaces
• Moduli in Modern Mapping Theory
• On convergence theorems for space quasiregular mappings
• Quasiextremal distance domains and conformal mappings onto circle domains
• On mappings whose inverses satisfy the Poletsky inequality
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