Gradient estimates for the constant mean curvature equation in hyperbolic space
Differential Geometry
2019-12-18 v1
Abstract
We establish gradient estimates for solutions to the Dirichlet problem for the constant mean curvature equation in hyperbolic space. We obtain these estimates on bounded strictly convex domains by using the maximum principles theory of -functions of Payne and Philippin. These estimates are then employed to solve the Dirichlet problem when the mean curvature satisfies under suitable boundary conditions.
Cite
@article{arxiv.1912.07864,
title = {Gradient estimates for the constant mean curvature equation in hyperbolic space},
author = {Rafael López},
journal= {arXiv preprint arXiv:1912.07864},
year = {2019}
}