4 papers · 1 filter
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 (),…
Locally uniform ellipticity of the fractional Hessian operators
Ziyu Gan, Heming Jiao
In [1], Caffarelli-Charro introduced a fractional Monge-Ampère operator. Later, Wu [17] generalized it to a fractional analogue of -Hessian operators and proved the strict elli…
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…
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…