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Asymptotic Dirichlet problem for harmonic maps via rough isometry

  • Seok Woo Kim and Yong Hah Lee
Published/Copyright: March 4, 2009
Forum Mathematicum
From the journal Volume 13 Issue 1

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.

Received: 1999-06-08
Revised: 1999-11-01
Published Online: 2009-03-04
Published in Print: 2001-January

© de Gruyter 2001

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