Zhijie Chen

works on

critical points 1 curvature equation 1 flat torus 1 green function 1 rhombus torus 1

From the 1 of 4 linked papers with an AI index.

activity

20242026

collaborators

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math.AP2026

Geometric analysis on rhombus torus: Green function with two singularities

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

The paper studies how the geometry of a rhombus-shaped flat torus and the positions of two singularities affect the critical points of a symmetrized Green function, and uses this t…

math.AP2025

Sovability of curvature equations with multiple singular sources on torus via Painleve VI equations

Zhijie Chen, Ting-Jung Kuo, Chang-Shou Lin

We study the curvature equation with multiple singular sources on a torus \[Îu+e^{u}=8Ï\sum_{k=0}^{3}n_{k}Î´_{\frac{Ï_{k}}{2}}% +4Ï\left( Î´_{p}+Î´_{-p}\right) \quad \text{ on…

math.AP2025

Generic non-degeneracy of critical points of multiple Green functions on torus and applications to curvature equations

Zhijie Chen, Erjuan Fu, Chang-Shou Lin

Let $E_{I ¨} := C / (Z + Z I ¨ )$ with $Im I ¨ > 0$ be a flat torus and $G (z; I ¨ )$ be the Green function on $E_{I ¨} $ with the singularity at $0$ . Consider th…