A note on the unique extremality of spiral-stretch maps

DOI10.1007/S11854-019-0039-1zbMath1428.30025OpenAlexW2960716690MaRDI QIDQ2330789

Yun Hu, Xiaogao Feng, Yuliang Shen

Publication date: 23 October 2019

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11854-019-0039-1

zbMATH Keywords

distortionquasiconformal mapsspiral-strech map

Mathematics Subject Classification ID

Quasiconformal mappings in the complex plane (30C62)

Related Items (1)

An extremal problem of Grötzsch type and an application

Cites Work

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• A unified approach to the weighted Grötzsch and Nitsche problems for mappings of finite distortion
• Modulus of curve families and extremality of spiral-stretch maps
• Deformations of annuli with smallest mean distortion
• Spirals and the universal Teichmüller space
• On minimisers of \(L^p\)-mean distortion
• Rotation estimates and spirals
• Deformations with smallest weighted L^p average distortion and Nitsche-type phenomena
• Rotation and strain
• Extremal mappings of finite distortion

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