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Asymptotic Boundary Value Problem of Harmonic Maps via Harmonic Boundary

초록/요약

We prove that given any continuous data f on the harmonic boundary of a complete Riemannian manifold with image within a ball in the normal range, there exists a harmonic map from the manifold into the ball taking the same boundary value at each harmonic boundary point as that of f. © 2013 Springer Science+Business Media Dordrecht.

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