A unified approach to the weighted Grötzsch and Nitsche problems for mappings of finite distortion

DOI10.1007/s11425-015-5078-1zbMath1351.30009OpenAlexW2174920035MaRDI QIDQ294499

Chong Wu, Xiaogao Feng, Yuliang Shen, Shu'an Tang

Publication date: 16 June 2016

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-015-5078-1

zbMATH Keywords

mapping of finite distortionweighted Grötzsch problemweighted Nitsche problem

Mathematics Subject Classification ID

Quasiconformal mappings in the complex plane (30C62) Extremal problems for conformal and quasiconformal mappings, other methods (30C75)

Related Items (5)

A note on the \(\rho\)-Nitsche conjecture ⋮ Mapping of least \(\rho \)-Dirichlet energy between doubly connected Riemann surfaces ⋮ The extremal problem for weighted combined energy ⋮ An extremal problem of Grötzsch type and an application ⋮ A note on the unique extremality of spiral-stretch maps

Cites Work

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• Harmonic maps between annuli on Riemann surfaces
• Deformations of annuli with smallest mean distortion
• On minimisers of \(L^p\)-mean distortion
• Deformations with smallest weighted L^p average distortion and Nitsche-type phenomena
• On the Module of Doubly-Connected Regions Under Harmonic Mappings
• The Nitsche conjecture
• Extremal mappings of finite distortion

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