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Asymptotic Dirichlet problem for harmonic maps via rough isometry
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Seok Woo Kim
and Yong Hah Lee
Published/Copyright:
March 4, 2009
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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Articles in the same Issue
- Regularity theory for some semi-linear equations: the Q-method
- Covers of algebraic varieties IV. A Bertini theorem for scandinavian covers
- Asymptotic Dirichlet problem for harmonic maps via rough isometry
- Feller semigroups, Lp-sub-Markovian semigroups, and applications to pseudo-differential operators with negative definite symbols
- On the stability of asymptotic properties of perturbed C0-semigroups
- Nonvanishing of the central critical value of the third symmetric power L-functions
- Nilmanifolds are Jiang-type spaces for coincidences
- BR-groups with critical type set (1, 2)