3 papers
math.AP2026
A Concavity Inequality for Hessian Quotient Equations
Yi-Lin Tsai
We prove a concavity inequality for the Hessian quotient operator using a change of basis for symmetric polynomials. This removes an additional structural concavity a…
math.AP2025
Pogorelov type interior estimate for Hessian quotient equation and its application
Siyuan Lu, Yi-Lin Tsai
In this paper, we derive a Pogorelov type interior estimate for the Hessian quotient equation . As an application, we show that convex v…
math.AP2024
A simple proof of curvature estimates for the n-1 Hessian equation
Siyuan Lu, Yi-Lin Tsai
In [Amer. J. Math. 141 (2019), no. 5, 1281-1315], Ren and Wang proved the curvature estimates for the curvature equation. The purpose of this note is to give a simple proof o…