Year: 2024
Type: preprint
Abstract: In this paper, we consider the existence of constant mean curvature hypersurfaces with prescribed gradient image. Let $Ω$ and $\tildeΩ$ be uniformly convex bounded domains in $\mathbb{R}^n$ with smooth boundary. We show that there exists unique convex solutions for the second boundary value problem of constant mean curvature equations.
Source: arXiv (Cornell University)
Authors: Huang, Rongli, Wei, Dayan, Ye, Yunhua
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: G7173846711
OpenAlex ID: W4404350152