Pogorelov type C² estimates for sum Hessian equations

2025/04/09 by Pengfei Li, Changyu Ren, Li, Pengfei +1 · 1 citation
Mathematics · #Geometry and complex manifolds #Nonlinear Partial Differential Equations #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.2504.06711

Abstract

In this paper, We establish Pogorelov type C² estimates for the admissible solutions with σ_k(D²u) bounded from below of Sum Hessian equations. We also proved the lower bounded condition can be removed when k = n.

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• Hypersurfaces of constant sum Hessian curvature in Hyperbolic space

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