The inverse of a \(\sigma (z)\)-harmonic diffeomorphism

DOI10.1007/s40315-017-0202-6zbMath1381.30017OpenAlexW2612986321MaRDI QIDQ1689815

Shi Qingtian, Hu Chunying

Publication date: 17 January 2018

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40315-017-0202-6

zbMATH Keywords

\(\rho \)-harmonic mappingDouglas-Dirichlet functionalEuclidean harmonic diffeomorphism

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) General theory of univalent and multivalent functions of one complex variable (30C55)

Cites Work

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• A note on the \(\rho\)-Nitsche conjecture
• Harmonic degree 1 maps are diffeomorphisms: Lewy’s theorem for curved metrics
• The composition of harmonic mappings
• Harmonic univalent functions

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