Constant mean curvature graphs in $\mathbb{H}^3$ defined in exterior domains
- Resource Type
- Working Paper
- Authors
- Klaser, Patricia; Nunes, Adilson
- Source
- Subject
- Mathematics - Differential Geometry
Mathematics - Analysis of PDEs
Primary 53A10. Secondary 53C42
- Language
Given $H\in [0,1)$ and given a $C^0$ exterior domain $\Omega$ in a $H-$hypersphere of $\mathbb{H}^3,$ the existence of hyperbolic Killing graphs of CMC $H$ defined in $\overline{\Omega}$ with boundary $ \partial \Omega $ included in the $H-$hypersphere is obtained.