Abstract
In this paper we consider the problem of finding a star-shaped compact hypersurface with prescribed k-th mean curvature in hyperbolic space. Under some sufficient conditions, we obtain an existence result by establishing a priori estimates and using degree theory arguments.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 367-377 |
| Number of pages | 11 |
| Journal | Discrete and Continuous Dynamical Systems |
| Volume | 15 |
| Issue number | 2 |
| DOIs | |
| State | Published - Jun 2006 |
All Science Journal Classification (ASJC) codes
- Analysis
- Discrete Mathematics and Combinatorics
- Applied Mathematics
Keywords
- A priori estimates
- Hyperbolic space
- K-th mean curvature