| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4606323 | Differential Geometry and its Applications | 2009 | 9 Pages |
Abstract
We study and solve the Dirichlet problem for graphs of prescribed mean curvature in Rn+1Rn+1 over general domains Ω without requiring a mean convexity assumption. By using pieces of nodoids as barriers we first give sufficient conditions for the solvability in case of zero boundary values. Applying a result by Schulz and Williams we can then also solve the Dirichlet problem for boundary values satisfying a Lipschitz condition.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Matthias Bergner,