Year: 2026
Type: preprint
Abstract: We establish interior Hessian estimates for $k$ convex solutions of $\frac{σ_k(D^2u)}{σ_l(D^2u)}=1$, where $1 \leq l < k < n$, $k-l \in \{1,2\}$, and $2k > n$.The proof combines a concavity inequality with a pointwise doubling argument.
Source: arXiv (Cornell University)
Author: Wu, Ke
Institution: Northwest University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G7863635868, G8065483890
OpenAlex ID: W7214028513