Finite distortion functions and Douglas-Dirichlet functionals

DOI10.21136/CMJ.2018.0238-17OpenAlexW2884480566MaRDI QIDQ5227096

Qingtian Shi

Publication date: 5 August 2019

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21136/cmj.2018.0238-17

zbMATH Keywords

extremal quasiconformal mappingDirichlet's principleDouglas-Dirichlet functional\(\varrho\)-harmonic mappingfinite distortion functions

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Extremal problems for conformal and quasiconformal mappings, variational methods (30C70) Quasiconformal mappings in the complex plane (30C62)

Cites Work

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• Inner estimate and quasiconformal harmonic maps between smooth domains
• Harmonic mappings and quasiconformal mappings
• On univalent harmonic maps between surfaces
• On the boundary value problem for harmonic maps of the Poincaré disc
• Extremal problems for quasiconformal mappings
• A note on extremal mappings of finite distortion
• A note on the \(\rho\)-Nitsche conjecture
• On the variational principle of Gerstenhaber and Rauch
• $\overline {\partial }$-energy integral and harmonic mappings
• On the uniqueness problem of harmonic quasiconformal mappings
• Quasi-isometricity and equivalent moduli of continuity of planar 1/|ω|2-harmonic mappings
• Estimation of hyperbolically partial derivatives of ρ-harmonic quasiconformal mappings and its applications
• $\bar \partial $‐energy integral and uniqueness of harmonic maps
• Extremal mappings of finite distortion
• Dirichlets principle, distortion and related problems for harmonic mappings

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