微分方程团队成员—吕玉砂

发布者:hhxx发布时间:2023-12-29浏览次数:64

吕玉砂,讲师,于20162019年分别获东南大学、武汉大学基础数学硕士、博士学位。近几年主要从微分几何与几何分析等方面的研究工作,主持山东省自然科学基金青年项目1项、中国博士后科学基金面上项目1项,参与国家自然科学基金面上项目1项,发表论文8篇。

 

研究方向:微分几何与几何分析

 

承担科研项目情况

1.山东省自然科学基金青年项目,ZR2020QA004,超曲面的完全非线性曲率流的收敛性及其相关应用研究,2021/01-2023/12, 13万元,1/1、主持

2.中国博士后科学基金面上项目,2023M731698,各向异性收缩曲率流的收敛性及相关Minkowski问题,2023/06-2024/5, 8万元,1/1、主持

 

部分代表性论文

[1]     Li Guanghan, Lv Yusha(通讯作者). Contracting convex hypersurfaces in space form by non-homogeneous curvature function[J]. The Journal of Geometric Analysis, 30(2020): 417-447.

[2]     Li Guanghan, Lv Yusha(通讯作者).. Flow of pinched convex hypersurfaces by powers of curvature functions in hyperbolic space[J]. Journal of Mathematical Analysis and Applications, 460 (2018), 808-837.

[3]     Wang Hejun, Lv Yusha(通讯作者). Continuity of the solution to the even Lp Minkowski problem for 0<p<1 in the plane[J]. International Journal of Mathematic, 31 (2020), 1-13.

[4]     Chao, Xiaoli, Lv, Yusha. Lp harmonic 1-form on submanifold with weighted Poincare inequality[J]. Czechoslovak Mathematical Journal, 68 (2018), 195-217.

[5]     Chao, Xiaoli, Lv, Yusha. Linear Weingarten spacelike hypersurfaces in Lorentz space forms with prescribed Gauss map[J]. Kodai Mathematical Journal, 41 (2018), 98-114.

[6]     Chao, Xiaoli, Lv, Yusha. On the Gauss map of Weingarten hypersurfaces in hyperbolic spaces[J]. Bulletin Brazilian Mathematical Society, 47 (2016), 1051-1069.

[7]     Chao, Xiaoli, Lv, Yusha., L2 harmonic 1-forms on submanifolds with weighted Poincare inequality[J]. Journal of The Korean Mathematical Society, 53 (2016), 583-595.

[8]     Wang, Peijun, Chao, Xiaoli, Wu, Yilong, Lv, Yusha, Harmonic p-forms on Hadamard manifolds with finite total curvature[J]. Annals of Global Analysis and Geometry, 54 (2018), 473-487.