On locally invertible harmonic mappings of plane domains

DOI10.1134/S1995080217030076zbMath1372.31002OpenAlexW2617911668MaRDI QIDQ2399787

Farit G. Avkhadiev

Publication date: 24 August 2017

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080217030076

zbMATH Keywords

harmonic mappingsunivalence theoremsvon Mises harmonic mappings

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05)

Cites Work

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• Univalent harmonic mappings and linearly connected domains
• Applications of von Mises coordinates in porous media flow
• Sufficient conditions for the univalence of quasiconformal mappings
• The conformal radius as a function and its gradient image
• On global univalence theorems
• Covering spaces, fibre spaces, and local homeomorphisms
• Schwarz-Pick Type Inequalities
• On the non-vanishing of the Jacobian in certain one-to-one mappings
• Topological Methods in the Theory of Functions of a Complex Variable. (AM-15)
• On the theory of univalent functions

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