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arXiv · 2504.06711

Pogorelov type $C^2$ estimates for sum Hessian equations

Pengfei Li·Changyu Ren
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Abstract

In this paper, We establish Pogorelov type $C^2$ estimates for the admissible solutions with $\sigma_k(D^2u)$ bounded from below of Sum Hessian equations. We also proved the lower bounded condition can be removed when $k = n$.

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Pengfei Li, Changyu Ren. 2025-04-09. Pogorelov type $C^2$ estimates for sum Hessian equations. https://arxiv.org/abs/2504.06711

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