Asymptotic Dirichlet problem for harmonic maps via rough isometry

Seok Woo Kim; Yong Hah Lee

doi:10.1515/FORM.2001.37

Asymptotic Dirichlet problem for harmonic maps via rough isometry

Seok Woo Kim, Yong Hah Lee

Department of Mathematics Education

Research output: Contribution to journal › Article › peer-review

Abstract

We propose a new asymptotic Dirichlet problem for harmonic maps via rough isometry on a certain class of Riemannian manifolds. We also prove that this problem is solvable for naturally defined class of data maps. This result generalizes those of Avilés, Choi and Micallef and of Choi and the present authors.

Original language	English
Pages (from-to)	37-49
Number of pages	13
Journal	Forum Mathematicum
Volume	13
Issue number	1
DOIs	https://doi.org/10.1515/FORM.2001.37
State	Published - 2001

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10.1515/FORM.2001.37

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title = "Asymptotic Dirichlet problem for harmonic maps via rough isometry",

abstract = "We propose a new asymptotic Dirichlet problem for harmonic maps via rough isometry on a certain class of Riemannian manifolds. We also prove that this problem is solvable for naturally defined class of data maps. This result generalizes those of Avil{\'e}s, Choi and Micallef and of Choi and the present authors.",

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note = "Funding Information: The first author is supported in part by GARC. The second author is supported in part by the KOSEF Postdoctoral Research Fellowship at Korea University.",

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AB - We propose a new asymptotic Dirichlet problem for harmonic maps via rough isometry on a certain class of Riemannian manifolds. We also prove that this problem is solvable for naturally defined class of data maps. This result generalizes those of Avilés, Choi and Micallef and of Choi and the present authors.

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Asymptotic Dirichlet problem for harmonic maps via rough isometry

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