10 citations · 16 across the 14 of their papers we have counts for
4 papers · 1 filter
The Pogorelov estimates for degenerate curvature equations
Heming Jiao, Yang Jiao
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…
Second order estimates for convex solutions of degenerate -Hessian equations
Heming Jiao, Zhizhang Wang
The estimate of the Dirichlet problem for degenerate -Hessian equations with non-homogenous boundary conditions is an open problem, if the right hand side function …
On a class of Hessian type equations on Riemannian manifolds
Heming Jiao, Jinxuan Liu
In this paper, we consider a class of Hessian type equations which include the Monge-Ampère equation on Riemannian manifolds. The \emph{a priori} estimates and the ex…
The Dirichlet problem for a class of prescribed curvature equations
Heming Jiao, Zaichen Sun
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 $C^{1,…