Year: 2026
Type: preprint
Abstract: Motivated by prescribed Chern scalar curvature problems in complex geometry, we study the equation $Δ_{\mathbb S^{N-1}}V+λ(e^V-1)=0$ with $λ>0$ on spheres. For $N\ge4$ and $λ>2(N-2)$ with $λ\ne2N$, we prove the existence of a nonconstant smooth solution that is axially symmetric and symmetric about the equator.
Source: arXiv (Cornell University)
Authors: Li, Yuxuan, Niu, Qiang, Zhou, Wubin
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223087196