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Suppose (,g) is a simply connected, complete and noncompact surface. We call it is aHadamard surface if its Gaussian curwature is between two negative constants. By the Uniformization Theorem, we know that such surfaces are always conformal to 2-dAn hyperbolicspaces (D, ds2p). Here D is the unit disc on the plane or the upper half plane, and ds2p is thePoincare metric on it. In this note, we are interested in the Dirichlet problem of harmonic mapson such surfaces.Due to the conformal invar… 相似文献
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