Qiang Tu

collaborators

5 papers

math.AP2026

The existence of $(p, k)$ -convex hypersurfaces for a class of Hessian quotient type curvature equations

Jiabao Gong, Qiang Tu

This article investigates the existence of closed, star-shaped hypersurfaces for a class of Hessian quotient type curvature equations, in which the operator $\frac{I ¨ _{k}}{I ¨ _{l}} (I^)$ …

math.AP2026

The $L_{p}$ dual Christoffel-Minkowski type problem for a class of Hessian quotient equations

Shasha Luo, Jiabao Gong, Qiang Tu

In this paper, we investigate an $L_{p}$ dual Christoffel-Minkowski type problem for the Hessian quotient operator $\frac{I ¨ _{k} ( I ^ )}{I ¨ _{l} ( I ^ )}$ , where the operator $I^$ has been w…

math.AP2026

The Neumann problem for a class of degenerate Hessian quotient type equations

Jiabao Gong, Qiang Tu

In this paper, we obtain some important inequalities for a class of Hessian quotient type operators $\frac{I ¨ _{k} ( I ^ ( D ^{2} u ))}{I ¨ _{l} ( I ^ ( D ^{2} u ))}$ , which can be regarded as a generalizati…

math.AP2025

Second order estimates for $I ¨ $ -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 $L_{p}$ -dual Christoffel-Minkowski problem for the case $p \geq q$

Xiaojuan Chen, Qiang Tu, Ni Xiang

In this paper, we consider a class of Hessian equations associated to the $L_{p}$ -dual Christoffel-Minkowski problem for the case $p \geq q$ . By combining the tools of constant rank t…

The existence of (p,k)-convex hypersurfaces for a class of Hessian quotient type curvature equations

The Lp​ dual Christoffel-Minkowski type problem for a class of Hessian quotient equations

The Neumann problem for a class of degenerate Hessian quotient type equations

Second order estimates for I¨-semi convex solutions of Hessian equations on Hermitian manifolds

The Lp​-dual Christoffel-Minkowski problem for the case p≥q

The existence of $(p, k)$ -convex hypersurfaces for a class of Hessian quotient type curvature equations

The $L_{p}$ dual Christoffel-Minkowski type problem for a class of Hessian quotient equations

Second order estimates for $I ¨ $ -semi convex solutions of Hessian equations on Hermitian manifolds

The $L_{p}$ -dual Christoffel-Minkowski problem for the case $p \geq q$