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arXiv · 2510.21301

Interior Hessian estimates for sum Hessian quotient equation

Changyu Ren·Ziyi Wang
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Abstract

This paper is devoted to the interior $C^2$ estimates for a class of sum Hessian quotient equations. For $0\leq l<k<n$, we establish the interior estimates and the Pogorelov type estimates. In the case $k=n$, we obtain a weaker Pogorelov type estimate for $0\leq l<n-1$.

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Changyu Ren, Ziyi Wang. 2025-10-24. Interior Hessian estimates for sum Hessian quotient equation. https://arxiv.org/abs/2510.21301

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