The Pogorelov estimates for degenerate curvature equations
Analysis of PDEs
2024-04-12 v2
Abstract
We establish the Pogorelov type estimates for degenerate prescribed k-curvature equations as well as k-Hessian equations. Furthermore,we investigate the interior C1,1 regularity of the solutions for Dirichlet problems. These techniques also enable us to improve the existence theorem for an asymptotic Plateau type problem in hyperbolic space.
Keywords
Cite
@article{arxiv.2207.00863,
title = {The Pogorelov estimates for degenerate curvature equations},
author = {Heming Jiao and Yang Jiao},
journal= {arXiv preprint arXiv:2207.00863},
year = {2024}
}