The Dirichlet problem for constant mean curvature surfaces in Heisenberg space
| dc.creator | Alias, Luis J. | |
| dc.creator | Dajczer, Marcos | |
| dc.creator | Rosenberg, Harold | |
| dc.date | 2006-12-22 | |
| dc.date.accessioned | 2026-07-07T09:24:07Z | |
| dc.date.available | 2026-07-07T09:24:07Z | |
| dc.description | We study constant mean curvature graphs in the Riemannian 3-dimensional Heisenberg spaces ${\cal H}={\cal H}(τ)$. Each such ${\cal H}$ is the total space of a Riemannian submersion onto the Euclidean plane $\mathbb{R}^2$ with geodesic fibers the orbits of a Killing field. We prove the existence and uniqueness of CMC graphs in ${\cal H}$ with respect to the Riemannian submersion over certain domains $Ω\subset\mathbb{R}^2$ taking on prescribed boundary values. | |
| dc.identifier | https://arxiv.org/abs/math/0612712 | |
| dc.identifier | http://arxiv.org/abs/math/0612712 | |
| dc.identifier | Calculus of Variations and PDE 30 (2007), 513--522 | |
| dc.identifier | doi:10.1007/s00526-007-0101-1 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/155981 | |
| dc.subject | Differential Geometry | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35J60, 53C42 | |
| dc.title | The Dirichlet problem for constant mean curvature surfaces in Heisenberg space | |
| dc.type | text |