在平均场方程等课题取得了丰富的研究成果，发表论文如下
1、Chen Zhijie and Lin Chang-Shou, Exact number and non-degeneracy of critical points of multiple Green functions on rectangular tori, 29 pp, Journal of Differential Geometry, accepted for publication
2、Chen Zhijie and Lin Chang-Shou, Spectrum of the Lame operator and application, II: When an endpoint is a cusp, Communications in Mathematical Physics, 378(2020), 335-368.
3、Chen Zhijie and Lin Chang-Shou, Sharp nonexistence results for curvature equations with four singular sources on rectangular tori, American Journal of Mathematics, 142(2020), 1269-1300.
