Mathematische Annalen

, Volume 364, Issue 3–4, pp 793–811 | Cite as

Proper harmonic maps between asymptotically hyperbolic manifolds



Generalizing the result of Li and Tam for the hyperbolic spaces, we prove an existence theorem on the Dirichlet problem for harmonic maps with \(C^1\) boundary conditions at infinity between asymptotically hyperbolic manifolds.

Mathematics Subject Classification

53C43 58J32 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.Department of MathematicsTokyo Institute of TechnologyTokyoJapan

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