
一、个人基本情况
姓名:刘天昊
性别:男
职称:
所在部门:William希尔官网
二、主要研究方向
变分法、非线性分析与偏微分方程
三、教育与工作经历
教育经历
2019/09-2024/06 清华大学,数学科学系,基础数学,博士
2015/09-2019/07 山东大学,数学学院,数学与应用数学,本科
工作经历
2026/07-至今 北京工业大学,William希尔官网
2024/07-2026/06 北京应用物理与计算数学研究所,博士后
四、主要科研项目
2026-2031 北京工业大学高层次人才队伍建设计划青年优秀人才项目,主持
2025-2026 中国博士后科学基金第78批面上资助,主持
2024-2026 国家资助博士后研究人员计划 (B档),主持
五、学术成果与荣誉
发表的论文:
[1] Tianhao Liu, Linjie Song, Qiaoran Wu, Wenming Zou. Multiple sign-changing and seminodal normalized solutions for a Gross-Pitaevskii type system on bounded domains: the L2-supercritical case. Journal of the London Mathematical Society, accepted.
[2] Tianhao Liu, Juncheng Wei, Wenming Zou: Infinitely many positive solutions to nonlinear scalar field equation with nonsmooth nonlinearity. Calculus of Variations and Partial Differential Equations 65(5) (2026), 53pp.
[3] Houwang Li, Tianhao Liu, Wenming Zou: Normalized solutions for a class of Sobolev critical Schrödinger systems. Journal of Differential Equations 450 (2026), 46 pp.
[4] Tianhao Liu; Wenming Zou; Least energy positive solutions for Schrödinger systems with critical exponent in R³: mixed cooperation and competition. Journal of Differential Equations 440 (2025), 36pp.
[5] Tianhao Liu, Xueqin Peng, Wenming Zou: Normalized solution for the logarithmic Schrödinger system. Journal of Geometric Analysis 35(7) (2025), 58pp.
[6] Hichem Hajaiej, Tianhao Liu, Linjie Song, Wenming Zou: Positive solution for an elliptic system with critical exponent and logarithmic terms. Journal of Geometric Analysis 34(6) (2024), 44pp.
[7] Tianhao Liu, Wenming Zou: Sign-changing solution for logarithmic elliptic equations with critical exponent. Manuscripta Mathematica 174 (2024), no.3-4, 749-773.
[8] Tianhao Liu: Positive solutions for Kirchhoff-type elliptic system with critical exponent in R³. Journal of Mathematical Analysis and Applications 531(2) (2024), 31pp.
[9] Hichem Hajaiej, Tianhao Liu, Wenming Zou: Positive solution for an elliptic system with critical exponent and logarithmic terms: higher dimensional case. Journal of Fixed Point Theory and Applications 26(2) (2024), 33pp.
[10] Tianhao Liu, Song You, Wenming Zou: Least energy positive solutions for d-coupled Schrödinger systems with critical exponent in dimension three. Journal of Differential Equations 367 (2023), 40–78.
六、联系方式
地址:北京市朝阳区平乐园北京工业大学数理楼(一教)XXX房间
E-mail:liutianhao@bjut.edu.cn