Asymptotic dilation of regular homeomorphisms

DOI10.1007/S11785-018-0833-2zbMath1428.28004arXiv1805.00981OpenAlexW2963154210MaRDI QIDQ2007944

Maria Stefanchuk, Ruslan Radikovich Salimov, Anatoly Golberg

Publication date: 22 November 2019

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.00981

zbMATH Keywords

nonlinear Beltrami equationregular homeomorphism\(p\)-angular dilatationlength and area

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Length, area, volume, other geometric measure theory (28A75) Integration of real functions of several variables: length, area, volume (26B15) Inequalities in the complex plane (30A10)

Related Items (4)

Nonlinear Beltrami equation and asymptotics of its solution ⋮ Functional asymptotics of solutions of the nonlinear Cauchy-Riemann-Beltrami system ⋮ On the local properties of solutions of the nonlinear Beltrami equation ⋮ Logarithmic asymptotics of the nonlinear Cauchy-Riemann-Beltrami equation

Cites Work

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• Lectures on mappings of finite distortion
• On ring solutions of Beltrami equations
• Infinitesimal geometry of quasiconformal and bi-Lipschitz mappings in the plane
• Zum Beweis eines Satzes über quasikonforme Abbildungen
• Confromal invariants and function-theoretic null-sets
• On Lipschitz continuity of quasiconformal mappings in space
• Lower estimates for $p$-moduli and Sobolev class mappings
• Extension of the Schwarz Lemma to homeomorphisms with controlled p-module
• Directional dilatations in space
• On the degenerate Beltrami equation
• On the Distortion and Correspondence under Quasiconformal Mappings in Space
• On the Behavior of Quasiconformal Mappings at a Point

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