Mathematische Annalen

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

Proper harmonic maps between asymptotically hyperbolic manifolds

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Abstract

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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