2 papers
math.AP2025
Second order estimates for -semi convex solutions of Hessian equations on Hermitian manifolds
Xiaojuan Chen, Qiang Tu, Ni Xiang
In this paper, we establish the modified concavity inequality for complex Hessian equations under the semi-convexity assumption inspired by Lu \cite{Lu23} and Zhang \cite{Z24} for…
math.AP2025
The -dual Christoffel-Minkowski problem for the case
Xiaojuan Chen, Qiang Tu, Ni Xiang
In this paper, we consider a class of Hessian equations associated to the -dual Christoffel-Minkowski problem for the case . By combining the tools of constant rank t…