5 papers
Interior Hessian estimates for Hessian quotient equations
Weisong Dong, Ruijia Zhang
In this paper, we establish interior estimates for admissible semiconvex solutions to the general Hessian quotient equation for the cases $l=k…
Second order estimates for equations with sums of Hessian operators on Hermitian manifolds
Weisong Dong, Ruijia Zhang
In this paper, we establish an a priori second-order estimate for admissible solutions satisfying a dynamic plurisubharmonic condition to equations involving sums of Hessian operat…
Pogorelov interior estimates for sum-of-Hessians equations
Weisong Dong, Sirui Xu, Ruijia Zhang
In this paper, we develop a new approach to sum-of-Hessians equations involving multiple -Hessian operators of distinct orders. By exploiting the concavity of sums of Hessian op…
Curvature estimates for semi-convex solutions of asymptotic Plateau problem in
Han Hong, Ruijia Zhang
In this paper, we consider the asymptotic Plateau problem in hyperbolic space. We establish estimates for semi-convex complete hypersurfaces satisfying constant c…
estimates for -Hessian equations and a rigidity theorem
Ruijia Zhang
We derive a concavity inequality for -Hessian operators under the semi-convexity condition. As an application, we establish interior estimates for semi-convex solutions of the $…