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 | |
| State | Published - 2001 |
Bibliographical 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.