10 citations · 16 across the 14 of their papers we have counts for
14 papers
Interior Hessian estimates for Hessian quotient equations in dimension three
Heming Jiao, Zhenan Sui
In this paper, we establish the interior Hessian estimates for -convex solutions to in dimension three. In higher dimensions (), we…
Three Bernstein type theorems for hypersurfaces with zero Gaussian curvature
Slawomir Dinew, Mengru Guo, Heming Jiao
In this paper, we prove Bernstein type theorems for entire convex graphical hypersurfaces with zero Gaussian curvature in both Euclidean and Minkowski context. A supplementary exam…
Locally uniform ellipticity of the fractional Hessian operators
Ziyu Gan, Heming Jiao
In [1], Caffarelli-Charro introduced a fractional Monge-Ampère operator. Later, Wu [21] generalized it to a fractional analogue of -Hessian operators and proved the strict ellip…
The Dirichlet problem for a class of curvature equations in Minkowski space
Mengru Guo, Heming Jiao
In this paper, we study the Dirichlet problem for a class of prescribed curvature equations in Minkowski space. We prove the existence of smooth spacelike hypersurfaces with a clas…
A geometric flow on noncompact affine Riemannian manifolds
Heming Jiao, Hanzhang Yin
In this paper, we obtain the existence criteria for a geometic flow on noncompact affine Riemannian manifolds. Our results can be regarded as a real version of Lee-Tam [19]. As an…
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,…
Curvature estimates for a class of Hessian type equations
Jianchun Chu, Heming Jiao
In this paper, we establish the curvature estimates for a class of Hessian type equations. Some applications are also discussed.
The first initial boundary value problem for Hessian equations of parabolic type on Riemannian manifolds
Weisong Dong, Heming Jiao
In this paper, we are concerned with the first initial boundary value problem for a class of fully nonlinear parabolic equations on Riemannian manifolds. As usual, the establishmen…
Second order estimates for Hessian equations of parabolic type on Riemannian manifolds
Heming Jiao
In this paper, we establish the second order estimates of solutions to the first initial-boundary value problem for general Hessian type fully nonlinear parabolic equations on Riem…
The Dirichlet problem for a class of Hessian type equations
Heming Jiao, Tingting Wang
We are concerned with the Dirichlet problem for a class of Hessian type equations. Applying some new methods we are able to establish the estimates for an approximating probl…
Second order estimates for Hessian type fully nonlinear elliptic equations on Riemannian manifolds
Bo Guan, Heming Jiao
We derive a priori estimates for second order derivatives of solutions to a wide calss of fully nonlinear elliptic equations on Riemannian manifolds. The equations we consider natu…