$\overline {\partial }$-energy integral and harmonic mappings

DOI10.1090/S0002-9939-02-06757-6zbMath1074.30018MaRDI QIDQ4804079

Guowu Yao

Publication date: 10 April 2003

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

harmonic mappingMain Inequality

Mathematics Subject Classification ID

Quasiconformal mappings in the complex plane (30C62)

Related Items (2)

On \(C^\infty \)-compactness of quasiconformal harmonic maps on the Poincaré disk ⋮ Finite distortion functions and Douglas-Dirichlet functionals

Cites Work

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• Harmonic maps between surfaces (with a special chapter on conformal mappings)
• On the Gerstenhaber-Rauch principle
• On univalent harmonic maps between surfaces
• On the boundary value problem for harmonic maps of the Poincaré disc
• On the variational principle of Gerstenhaber and Rauch
• Some properties and applications of harmonic mappings
• On the uniqueness problem of harmonic quasiconformal mappings
• On Quasiconformal Mappings which Keep the Boundary Points Fixed
• A new version of the main inequality and the uniqueness of harmonic maps

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