The Dirichlet problem for prescribed curvature equations of $p$-convex hypersurfaces
Analysis of PDEs
2022-08-23 v1 Differential Geometry
Abstract
In this paper, we study the Dirichlet problem for -convex hypersurfaces with prescribed curvature. We prove that there exists a graphic hypersurface satisfying the prescribed curvature equation with homogeneous boundary condition. An interior curvature estimate is also obtained.
Keywords
Cite
@article{arxiv.2208.09794,
title = {The Dirichlet problem for prescribed curvature equations of $p$-convex hypersurfaces},
author = {Weisong Dong},
journal= {arXiv preprint arXiv:2208.09794},
year = {2022}
}
Comments
22 pages