研究领域 Research Interests

偏微分方程及其与几何、物理相关的领域

Partial differential equations (PDEs), including magnetohydrodynamics (MHD) equations, nonlinear wave equations, and fully nonlinear elliptic equations especially the Monge-Ampère type equations. 

主要学术成果 Selected Publications

Mengni Li, Pin Yu. On the rigidity from infinity for nonlinear Alfvén waves. Journal of Differential Equations, 283 (2021), 163-215.  

You Li, Mengni Li. Boundary Hӧlder regularity for a class of fully nonlinear elliptic partial differential equations. Nonlinear Analysis. Theory, Methods & Applications, 216 (2022), Paper No. 112681, 19pp.

Mengni Li, You Li. Global regularity for a class of Monge-Ampère type equations. Science China-Mathematics, 65 (2022), no.3, 501-516.

受邀学术报告 Invited Talks

2021.03.19 在中国科学院数学与系统科学研究院数学研究所作 1 小时报告，北京 Long time behavior of solutions to three dimensional MHD equations, Academy of Mathematics and Systems Science (AMSS), Chinese Academy of Sciences, 19 March 2021, Beijing

2020.07.27 在武汉大学数学与统计学院作 1 小时报告，腾讯会议 Long time behavior of solutions to three dimensional MHD equations, Wuhan University, 27 July 2020, Tencent Meeting