Ruijia Zhang

collaborators

4 papers

math.AP2026

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…

math.AP2026

Pogorelov interior estimates for general sum-type Hessian equations

Weisong Dong, Sirui Xu, Ruijia Zhang

In this paper, we exploit the concavity of sums of Hessian operators to derive Pogorelov estimates for corresponding equations under the dynamic semi-convexity assumption, and we f…

math.AP2025

$C^{2}$ estimates for $k$ -Hessian equations and a rigidity theorem

Ruijia Zhang

We derive a concavity inequality for $k$ -Hessian operators under the semi-convexity condition. As an application, we establish interior estimates for semi-convex solutions of the $…

math.DG2024

Curvature estimates for semi-convex solutions of asymptotic Plateau problem in $H^{n + 1}$

Han Hong, Ruijia Zhang

In this paper, we consider the asymptotic $I ¨ _{k}$ Plateau problem in hyperbolic space. We establish $C^{2}$ estimates for semi-convex complete hypersurfaces satisfying constant $I ¨ _{k}$ …

Second order estimates for equations with sums of Hessian operators on Hermitian manifolds

Pogorelov interior estimates for general sum-type Hessian equations

C2 estimates for k-Hessian equations and a rigidity theorem

Curvature estimates for semi-convex solutions of asymptotic Plateau problem in Hn+1

$C^{2}$ estimates for $k$ -Hessian equations and a rigidity theorem

Curvature estimates for semi-convex solutions of asymptotic Plateau problem in $H^{n + 1}$