4 papers · 1 filter
Rigidity of Convex Entire Solutions to Sum Hessian Equations
Changyu Ren, Xianlu Sun
We study the rigidity of convex entire solutions to sum Hessian equations. Using a dimension-lifting identity, we reduce the problem to a standard \(k\)-Hessian equation in one hig…
Interior Hessian estimates for sum Hessian quotient equation
Changyu Ren, Ziyi Wang
This paper is devoted to the interior estimates for a class of sum Hessian quotient equations. For , we establish the interior estimates and the Pogorelov type e…
Pogorelov type estimates for sum Hessian equations
Pengfei Li, Changyu Ren
In this paper, We establish Pogorelov type estimates for the admissible solutions with bounded from below of Sum Hessian equations. We also proved the lower bound…
Interior estimates for a class of sum Hessian equation
Changyu Ren, Ziyi Wang
In this paper, we mainly study the interior estimates for a class of sum Hessian equations. We establish the interior estimates and the Pogorelov type estimates for .…