Year: 2026
Type: preprint
Abstract: We prove that for each $3\le k\le n-1$ a convex $C^2$ entire solution of $σ_k$ equation in $\mathbb{R}^n$ with positive constant right hand side is a quadratic polynomial, without a growth assumption on the solution itself.
Source: arXiv (Cornell University)
Authors: Zhou, Xingchen, Zhu, Ruixuan
Institutions: Hainan University, Westlake University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7213606690