李奇睿,男,
博士,
浙江大学“百人计划”研究员,
浙江大学数学科学学院博士生导师。
人物经历
2004年9月-2008年6月在浙江大学获学士学位。
2008年9月-2014年3月在浙江大学获博士学位。
2011年12月-2014年6月在
澳大利亚国立大学获博士学位。
2014年3月-2019年6月,澳大利亚国立大学博士后。
2019年7月起,浙江大学百人计划研究员。
主要成就
科研成就
科研综述
主要研究
非线性方程及其应用,Monge最优运输问题,凸几何分析,曲率流,
黎曼流形中的分析问题。
学术成果
The Lp dual Minkowski problem and related parabolic flows (with H. Chen). Preprint.PDF
The Lp-Brunn-Minkowski inequality for p<1 (with S. Chen, Y. Huang and J. Liu). Preprint.PDF
Variations of a class of Monge-Ampere type functionals and their applications (with H. Chen and S. Chen). Accepted byAnalysis&PDE.PDF
Flow by Gauss curvature to the Aleksandrov and dual Minkowski problems (with W. Sheng and X.-J. Wang). Accepted byJ. Eur. Math. Soc.PDF
Infinitely many solutions for centro-affine Minkowski problem.Int. Math. Res. Not.in press.Article Link
Asymptotic convergence for a class of fully nonlinear curvature flows (with W. Sheng and X.-J. Wang).J Geom Anal (2019)in press.Article Link
Continuity for the Monge mass transfer problem in two dimensions (with F. Santambrogio and X.-J. Wang).Arch. Rational Mech. Anal.231 (2019), no. 2, 1045--1071.Article Link
The logarithmic Minkowski problem for non-symmetric measures (with S. Chen and G. Zhu).Trans. Amer. Math. Soc.371 (2019), no. 4, 2623--2641.Article Link
On the planar dual Minkowski problem (with S. Chen).Adv. Math.333 (2018), 87--117.Article Link
A class of optimal transportation problems on the sphere, Dedicated to Professor G.C. Dong on the occasion of his 90th birthday (with X.-J. Wang).Sci Sin Math48 (2018), no. 1, 181--200.Article Link
Two dimensional Monge-Ampere equations under incomplete Holder assumptions.Math. Res. Lett.24 (2017), no. 2, 485--506.Article Link
On the Lp Monge-Ampere equation (with S. Chen and G. Zhu).J. Differential Equations263 (2017), no. 8, 4997--5011.Article Link
Multiple solutions of the Lp-Minkowski problem (with Y. He and X.-J. Wang).Calc. Var. Partial Differential Equations55 (2016), no. 5, Paper No. 117, 13 pp.Article Link
Regularity of the homogeneous Monge-Ampere equation (with X.-J. Wang).Discrete Contin. Dyn. Syst.35 (2015), no. 12, 6069--6084.Article Link
Regularity in Monge's mass transfer problem (with F. Santambrogio and X.-J. Wang).J. Math. Pures Appl.102 (2014), no. 6, 1015--1040.Article Link
Positivity of Ma-Trudinger-Wang curvature on Riemannian surfaces (with S.-Z. Du).Calc. Var. Partial Differential Equations51 (2014), no. 3-4, 495--523.Article Link
Closed hypersurfaces with prescribed Weingarten curvature in Riemannian manifolds (with W. Sheng).Calc. Var. Partial Differential Equations48 (2013), no. 1-2, 41--66.Article Link
Some Dirichlet problems arising from conformal geometry (with W. Sheng).Pacific J. Math.251 (2011), no. 2, 337--359.Article Link
Surfaces expanding by the power of the Gauss curvature flow.Proc. Amer. Math. Soc.138 (2010), no. 11, 4089--4102.Article Link
组织会议
浙江大学
非线性偏微分方程与几何分析研讨会;时间:2019年12月,地点:浙大紫金港校区。会议安排PDF。
人才培养
教学理念
鼓励毕业生们以“凡事勇于尝试”的精神迎接挑战、奋力拼搏,以坚韧不拔的品格和对创新事物的好奇精神实现最终的探索和发现,以“勇敢去追也可身段从容”的态度保持初心、保持纯粹,在追梦和奋进中实现对数学深沉的爱。
指导学生
已毕业研究生
徐 亮 (2021年9月--2024年6月,硕士研究生),毕业后在
UCSD读博。
所获荣誉
2024年6月,浙江大学数学科学学院
盛为民教授领衔的几何分析团队获评浙江大学第十届研究生“五好”导学团队荣誉称号,团队指导教师包括李奇睿研究员。