Jiabao Gong

works on

constant rank theorem 1 existence and uniqueness 1 hessian curvature equations 1 k-convex hypersurfaces 1 star-shaped hypersurfaces 1

From the 1 of 6 linked papers with an AI index.

collaborators

6 papers

math.DG2026

The existence of $k$ -convex hypersurface for a class of Hessian curvature equations

Kang Xiao, Jiabao Gong

The paper proves the existence and uniqueness of closed, star‑shaped, k‑convex hypersurfaces solving certain Hessian curvature equations, and shows these hypersurfaces are strictly…

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…

hep-ph2026

Polarization transfer in $I ¨ ^{'} \to I ¨ I ¨ I ¨ $ : a complete spin density matrix analysis framework

Jiabao Gong, Guanyu Wang, Dongyu Yuan +7

A theoretical framework based on the Spin Density Matrix (SDM) formalism is developed to describe polarization transfer in the decay chain $e^+e^- \rightarrow Ï^\prime \rightarrow…

math.AP2025

The Neumann problem for a class of Hessian quotient type equations

Jiabao Gong, Zixuan Liu, Qiang Tu

In this paper, we consider the Neumann problem for a class of Hessian quotient equations involving a gradient term on the right-hand side in Euclidean space. More precisely, we der…

The existence of k-convex hypersurface for a class of Hessian curvature equations

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

Polarization transfer in I¨′→I¨I¨I¨: a complete spin density matrix analysis framework

The Neumann problem for a class of Hessian quotient type equations

The existence of $k$ -convex hypersurface for a class of Hessian curvature equations

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

Polarization transfer in $I ¨ ^{'} \to I ¨ I ¨ I ¨ $ : a complete spin density matrix analysis framework