The Dirichlet problem for a class of prescribed curvature equations
Analysis of PDEs
2022-08-17 v2
Abstract
In this paper, we consider the Dirichlet problem for a class of prescribed curvature equations. Both degenerate and non-degenerate cases are considered. The existence of the regular graphic hypersurfaces with prescribing a class of curvatures and constant boundary is proved for the degenerate case.
Keywords
Cite
@article{arxiv.2202.05003,
title = {The Dirichlet problem for a class of prescribed curvature equations},
author = {Heming Jiao and Zaichen Sun},
journal= {arXiv preprint arXiv:2202.05003},
year = {2022}
}
Comments
In this version, we improve our results to the degenerate case. Furthermore, the conditions on the domain are weakened