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arXiv · 2311.05835

Interior $C^2$ estimate for Hessian quotient equation in dimension three

Siyuan Lu
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Abstract

In this paper, we establish an interior $C^2$ estimate for the Hessian quotient equation $\left(\frac{\sigma_3}{\sigma_1}\right)(D^2u)=f$ in dimension three. A crucial ingredient in our proof is a Jacobi inequality.

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Siyuan Lu. 2023-11-10. Interior $C^2$ estimate for Hessian quotient equation in dimension three. https://arxiv.org/abs/2311.05835

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