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An extremal problem of Grötzsch type and an application

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Publication:777080
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DOI10.1007/s00013-020-01466-zzbMath1442.30023OpenAlexW3016534214MaRDI QIDQ777080

Qin Zhang, Xiaogao Feng

Publication date: 3 July 2020

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-020-01466-z


zbMATH Keywords

minimizermappings of finite distortionGrötzsch-type problem


Mathematics Subject Classification ID

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




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
  • A note on the unique extremality of spiral-stretch maps
  • Rotation estimates and spirals
  • Deformations with smallest weighted Lp average distortion and Nitsche-type phenomena
  • Rotation and strain
  • Extremal mappings of finite distortion


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