Asymptotic Boundary Value Problem of Harmonic Maps via Harmonic Boundary

被引：0

作者：

Yong Hah Lee

机构：

[1] Ewha Womans University,Department of Mathematics Education

来源：

Potential Analysis | 2014年 / 41卷

关键词：

Harmonic map; Harmonic boundary; Asymptotic boundary value problem; 58E20; 53C43;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

页码：463 / 468

页数：5

共 11 条

[1]

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[2]

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[3]

Micallef M(1977)An existence theorem for harmonic mappings of Riemannian manifolds Acta. Math. 138 1-16

[4]

Giaquinta M(1996)Bounded harmonic maps on a class of manifolds Proc. Amer. Math. Soc. 124 2241-2248

[5]

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