Jiabao Gong

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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 $\frac{σ _{k}}{σ _{l}} (Λ)$ ar…

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 $\frac{σ _{k} ( Λ )}{σ _{l} ( Λ )}$ , where the operator $Λ$ has been widely…

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 $\frac{σ _{k} ( Λ ( D ^{2} u ))}{σ _{l} ( Λ ( D ^{2} u ))}$ , which can be regarded as a generalization o…

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 (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

The Neumann problem for a class of Hessian quotient type 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