Abstract
Existence and uniqueness is proved for asymptotic Dirichlet problems on Hadamard manifolds. This includes manifolds of bounded negative curvature and symmetric spaces of higher rank.
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Donnelly, H. Asymptotic Dirichlet Problem for Harmonic Maps with Bounded Image. Geometriae Dedicata 91, 1–6 (2002). https://doi.org/10.1023/A:1016286700896
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DOI: https://doi.org/10.1023/A:1016286700896