Year: 2026
Type: preprint
Abstract: We establish comparison Pogorelov estimates for admissible solutions of graphical $σ_k$-curvature equations, extending the two-surface estimate of Qiu and Yan for the graphical scalar curvature equation. The comparison graph is assumed only to be $k$-admissible, with a bounded slope and a positive interior gap that vanishes on the boundary. The estimates cover $2\le k
Source: arXiv (Cornell University)
Author: Zhou, Jundong
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7220476966