Zhen Song

collaborators

3 papers

math.AP2026

Sharp criteria for the existence of solutions to curvature equations with two singular sources on rectangular torus

Zhijie Chen, Zhen Song

We study the following curvature equation with two singular sources on a flat torus $Δ u + e^{u} = 8 π (δ_{p} + δ_{- p}) on E_{τ} := C / (Z + Z τ),$ where $δ_{p}$ …

math.AP2026

Geometric analysis on rhombus torus: Green function with two singularities

Zhijie Chen, Erjuan Fu, Chang-Shou Lin +1

Let $G (z)$ be the Green function on the flat torus $E_{τ} = C / (Z + Z τ)$ with the singularity at $0$ . Lin and Wang (Ann. Math. 2010) proved that $G (z)$ has at m…

math.AP2025

Sharp stability on the second Robin eigenvalue with negative boundary parameters

Zhijie Chen, Zhen Song, Wenming Zou

In this paper, we prove a quantitative refinement of the isoperimetric type inequality for the second Robin eigenvalue with negative boundary parameters established by Freitas and…