Approximate solutions to the Dirichlet problem for harmonic maps between hyperbolic spaces
| dc.creator | Duc, Duong Minh | |
| dc.creator | Tuyen, Truong Trung | |
| dc.date | 2007-04-01 | |
| dc.date | 2007-05-23 | |
| dc.date.accessioned | 2026-07-07T08:09:10Z | |
| dc.date.available | 2026-07-07T08:09:10Z | |
| dc.description | Our main result in this paper is the following: Given $H^m, H^n$ hyperbolic spaces of dimensional $m$ and $n$ corresponding, and given a Holder function $f=(s^1,...,f^{n-1}):\partial H^m\to \partial H^n$ between geometric boundaries of $H^m$ and $H^n$. Then for each $ε>0$ there exists a harmonic map $u:H^m\to H^n$ which is continuous up to the boundary (in the sense of Euclidean) and $u|_{\partial H^m}=(f^1,...,f^{n-1},ε)$. | |
| dc.identifier | https://arxiv.org/abs/0704.0087 | |
| dc.identifier | http://arxiv.org/abs/0704.0087 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/131461 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53A35 | |
| dc.title | Approximate solutions to the Dirichlet problem for harmonic maps between hyperbolic spaces | |
| dc.type | text |