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Harmonic maps on hyperbolic spaces with singular boundary value

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Publication:1569247
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DOI10.4310/JDG/1214425141zbMath1030.58009OpenAlexW1484197335WikidataQ115194009 ScholiaQ115194009MaRDI QIDQ1569247

Luen-Fai Tam, Yuguang Shi, Tom Yau-Heng Wan

Publication date: 26 June 2000

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214425141


zbMATH Keywords

Dirichlet problemsingularityharmonic maphyperbolic spacePoisson equationenergy densityconformal transformationtension field


Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20)


Related Items (7)

Complete constant Gaussian curvature surfaces in the Minkowski space and harmonic diffeomorphisms onto the hyperbolic plane ⋮ A non-existence theorem of proper harmonic morphisms from weakly asymptotically hyperbolic manifolds ⋮ Harmonicity of the inverse of a harmonic diffeomorphism ⋮ The Douady-Earle extensions are not always harmonic ⋮ Beltrami equation for the harmonic diffeomorphisms between surfaces ⋮ A note on harmonic quasiconformal mappings ⋮ Inner estimate and quasiconformal harmonic maps between smooth domains







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