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李沁峰

发布时间:2020-09-30 09:46    浏览次数:    来源:

姓名:

李沁峰

学历/学位:

博士

职称:

副教授

电话:

17267413498

办公室:

数学院403




学习经历(Educational   Background)

Ph.D, Purdue University, 2013.9–2018.5;   (Advisor: Monica Torres and Changyou Wang)

Master, Nankai University, 2011.9–2013.6;   (Advisor: Kainan Xiang)

Bachelor's degree, Nankai University,   2007.9-2011.6;

 

工作经历(Working   Experience)

08/2020-Present, Hunan University

08/2018-06/2020, Postdoc at UTSA.   (Supervisor: Changfeng Gui)

 

科研项目(Research   Grants)

国家自然科学基金青年基金,1210010723,对两类绝热问题中若干数学问题的研究,2022/01-2024/1230万,在研,主持。

 

研究兴趣和主要论文(Research   Interest with Representative Papers)

(1)   Semilinear Elliptic Equations and Conformal Geometry

                

[1] Gui, Changfeng; Li, Qinfeng;   Completion of R^2 with a Conformal Metric as a Closed Surface, Anal.   Theory Appl., 37, 59-73, 2021. DOI: 10.4208/ata.2021.pr80.10. (Dedicated   to Paul H. Rabinowitz for his 80’s birthday)

[2] Gui, Changfeng; Li, Qinfeng; Some   energy estimates for stable solutions to fractional Allen-Cahn equations, Calculus   of Variations and Partial Differential Equations, 59(2): 1-17, 2020.

[3] Gu, Guangze; Gui, Changfeng; Hu,   Yeyao; Li, Qinfeng; Uniqueness and Symmetry for the Mean Field Equation on   Arbitrary Flat Tori, International Mathematics Research Notices, 2020.

DOI: 10.1093/imrn/rnaa109.

[4] Gui, Changfeng; Li, Qinfeng. Some   geometric inequalities on Liouville equation. Preprint, 2021.

[5] Li, Qinfeng; Xu, Lu. A stronger constant   rank theorem. Preprint, 2021.

 

(2)   Geometric Measure Theory and its Applications in Geometric   Variational Problems

 

[1] Gui, Changfeng; Hu, Yeyao; Li,   Qinfeng; On smooth interior approximation of sets of finite perimeter, Proceedings   of American Mathematical Society (accepted), 2021.

https://www.ams.org/cgi-bin/mstrack/accepted_papers/proc.

[2] Du, Hengrong; Li, Qinfeng; Wang,   Changyou; Compactness of M-uniform domains and optimal thermal insulation   problems, Advances in Calculus of Variations, 2021.   https://doi.org/10.1515/acv-2020-0088.

[3] Chen, Gui-Qiang; Li, Qinfeng; Torres,   Monica; Traces and extensions of bounded divergence-measure fields on rough   open sets, Indiana University Mathematics Journal, 69(1): 229-264,   2020.

[4] Li, Qinfeng; Torres, Monica; Morrey   spaces and generalized Cheeger sets, Advances in Calculus of Variations,   12(2): 111-133, 2019.

[5]Bright, Ido; Li, Qinfeng; Torres,   Monica*; Occupational measures and averaged shape optimization, ESAIM:   Control, Optimization and Calculus of Variations, 24(3): 1141-1165,   2018. 

[6] Li, Qinfeng; Wang, Changyou. On   Nematic liquid crystal droplets. Preprint.

[7] Gui, Changfeng; Hu, Yeyao; Li, Qinfeng.   Extensions and Traces of BV   functions on Rough domains and Generalized Cheeger sets. Preprint, 2021.

 

(3) Ellipticc Eigenvalue Problems with   Applications

 

[1] Huang, Yong; Li,   Qinfeng; Li, Qiuqi. Two thermal insulation problems   and a new eigenvalue problem. arXiv: 2011.00291. 2021.

[2] Huang, Yong; Li, Qinfeng; Li, Qiuqi;   Yao, Ruofei. On Laplacian eigenvalue problem with -1 Neumann boundary   condition. Preprint, 2021.

教授课程(Teaching

2021 Fall:  Probability and   Statistics A (For undergraduate students)Hunan   University

2021 Spring: Spectral Theory and Shape   Optimization Problems (Research Seminar), Hunan University

2020 Fall: Probability and Statistics A   (For undergraduate students), Hunan University.

Spring 2020:    Calculus 2 Instructor, UTSA.

Fall   2019:     Calculus 3 Instructor, UTSA.

Spring 2019:    Calculus 3 Instructor, UTSA

Spring 2017:    Calculus 3 Recitation Instructor, Purdue University.

Fall   2016:     Calculus 3 Recitation Instructor, Purdue   University.

Spring 2016:  Calculus   3 Recitation Instructor, Purdue University.

Fall   2015:     Calculus 1 Recitation Instructor, Purdue   University.

 

 

 

 


 

 

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