向长林导师简介

向长林,博士,教授,硕士生导师。博士毕业于芬兰于韦斯屈莱大学,中俄数学中心合作基地负责人。主要从事椭圆型偏微分方程、变分法、几何偏微分方程组正则性理论研究,主持国家自然科学基金青年项目、面上项目、湖北省杰出青年基金等多项纵向课题,获 2025 年度湖北省自然科学二等奖。
主持/参与的科研项目
(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)
代表性学术论文
(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)
邮箱:changlin.xiang@ctgu.edu.cn