（1）Riviere型方程组正则性理论及其几何应用（编号：12271296），国家自然科学基金面上项目，2023.01～2026.12，主持。（在研）
（2）Kirchhoff方程奇异摄动问题的研究（编号：11701045），国家自然科学基金青年项目，2018.01～2020.12，主持。（已结题）

          
        

（1）	Lp-regularity for fourth order elliptic systems with antisymmetric potentials in higher dimensions. Calc. Var. Partial Differential Equations, 62:31, 2023. (with Chang-Yu Guo and Changyou Wang)
（2）	Lp-regularity theory for even order elliptic systems with antisymmetric first order potentials. J. Math. Pures Appl. 165 (2022), 286-324. (with Chang-Yu Guo and Gao-Feng Zheng)
（3）	The Lamm-Rivière system I: Lp-regularity theory. Calc. Var. Partial Differential Equations 60 (2021), no. 6, Paper No. 213, 32 pp. (with Chang-Yu Guo and Gao-Feng Zheng)
（4）	Regularity of weak solutions to higher order elliptic systems in critical dimensions. Trans. Amer. Math .Soc. 374(5) (2021), 3579-3602. (with Chang-Yu Guo)
（5）	Regularity of solutions for a fourth-order elliptic system via conservation law. J. London Math. Soc. 101(2) (2020), 907-922. (with Chang-Yu Guo)
（6）	A singularly perturbed Kirchhoff problem revisited. J. Differential Equations 268 (2020), no. 2, 541-589. (with Gongbao Li, Peng Luo, Shuangjie Peng, Chunhua Wang) 
（7）	Nonlinear Liouville problems in a quarter plane.  Int. Math. Res. Not. IMRN 2017, 2207-2218. 
（8）	Uniqueness and nondegeneracy of ground states for Choquard equations in three dimensions. Calc. Val. Partial Differential Equations 55 (2016), 55:134. 
（9）	Asymptotic behaviors of solutions to quasilinear elliptic equations with critical Sobolev growth and Hardy potential. J. Differential Equations 259 (2015), 3929-3954.