- Han, Xiaoli; Li, Jiayu, On symplectic mean curvature flows, Front. Math. China 2 (2007), no. 1, 47-60.
- Li Jiayu; Zhu, Xiangrong, Existence of 2D Skyrmions, Math. Z. 268 (2011), no. 1-2, 305-315.
- Ding, Weiyue; Jost, Jürgen; Li, Jiayu; Wang, Guofang, Existence results for mean field equations, Ann. Inst. H. Poincaré Anal. Non Linéaire 16 (1999), no. 5, 653-666.
- Li, Jiayu; Zhu, Chaona; Zhu, Miaomiao The qualitative behavior for α-harmonic maps from a surface with boundary into a sphere. Trans. Amer. Math. Soc. 376 (2023), no. 1, 391–417..
- Ding, Weiyue; Jost, Jürgen; Li, Jiayu; Peng, Xiaowei; Wang, Guofang, Self duality equations for Ginzburg-Landau and Seiberg-Witten type functionals with 6(th) order potentials, Comm. Math. Phys. 217 (2001), no. 2, 383-407.
- Chen, Qun; Jost, Jürgen; Li, Jiayu; Wang, Guofang, Regularity theorems and energy identities for Dirac-harmonic maps, Math. Z. 251 (2005), no. 1, 61-84.
- Han, Xiaoli; Li, Jiayu, The Lagrangian mean curvature flow along the Kähler-Ricci flow, Recent developments in geometry and analysis, 147-154, Adv. Lect. Math. 23, Int. Press, Somerville, MA, 2012.
- Han, Xiaoli; Li, Jiayu; Sun, Jun, The deformation of symplectic critical surfaces in a Kähler surface-I, Int. Math. Res. Not. IMRN (2018), no. 20, 6290-6328.
- Li, Jiayu; Wang, Silei, The heat flow of harmonic maps from noncompact manifolds, Chinese Ann. Math. Ser. B 21 (2000), no. 1, 121-130.
- Li, Jiayu, The Sobolev inequality and Sobolev imbedding theorem for Riemannian manifolds with nonnegative Ricci curvature, Chinese Ann. Math. Ser. A 15 (1994), no. 4, 461-471.