向长林

一、基本信息

http://shuxue.yangtzeu.edu.cn/__local/5/78/FF/C6F3D64C63A5115571AF4C2DDA2_3F6AB63F_1982.jpg?e=.jpg

向长林

最终学历

博士

副教授

博士

电子邮件

changlin.xiang@yangtzeu.edu.cn

通信地址

长江大学信息与数学学院,湖北省荆州市南环路1

邮政编码

434023

研究方向

非线性椭圆型偏微分方程,变分法,几何分析

社会职务

 

二、个人简介

1、学习经历

2010.9-2015.9,芬兰于韦斯屈莱大学数学系,基础数学,博士研究生

2007.9-2010.6,华中师范大学数学系,应用数学硕士研究生

2003.9-2007.6,华中师范大学数学系,本科

2、工作经历

2018.9-2019.7,华中师范大学,访问学者

2017.6-2017.7,华中师范大学,访问学者

2016.9-至今, 长江大学数学系,副教授

2015.10-2016.8,芬兰于韦斯屈莱大学数学系,博士后

三、近五年的教学情况及成果

1、讲授的主要课程

本科生课程:《数学分析》,《数学物理方程》

本系研究生课程:《现代偏微分方程入门》

外系研究生课程:《数学物理方程》

2、承担的实践性教学任务

1)指导2017年本科生毕业论文, 4人;

2)指导2019年本科生毕业论文, 2人;

3. 主持及参与的教学研究项目

四、近几年的学术研究

1、承担的学术研究课题

1Kirchhoff方程奇异摄动问题的研究(11701045),国家自然科学青年基金项目,2018.012020.12,主持人

2、发表的学术论文

(1)           A singularly perturbed Kirchhoff problem revisited. J. Differential Equations 2019. https://doi.org/10.1016/j.jde.2019.08.016 (Gongbao Li, Peng Luo, Shuangjie Peng, Chunhua Wang)

(2)           Multi-peak positive solutions to a class of  Kirchhoff equations. Proc. Roy. Soc. Edinburgh Sect. A 149 (2019), 1097-1122. (with Peng Luo, Shuangjie Peng, Chunhua Wang)

(3)           Some regularity results for p-harmonic mappings between Riemannian manifolds. Nonlinear Analysis 188 (2019), 405-424. (With Chang-Yu Guo)

(4)           Regularity of quasi-n-harmonic mappings into NPC spaces. Annali di Matematica 198(2019), 367-380. (With Chang-Yu Guo)

3   Nondegeneracy of positive solutions to a Kirchhoff problem with critical Sobolev growth. Applied Mathematics Letters 86 (2018), 270-275. (With Gongbao Li)

4   Uniqueness of positive solutions to some nonlinear Neumann problems. J. Math. Anal. Appl., 455 (2017), 1835-1847. (with Youyan Wan)

5   Nonlinear Liouville problems in a quarter plane.  Int. Math. Res. Not. IMRN 2017,  2207-2218.

6   Gradient estimates for solutions to quasilinear elliptic equations with critical Sobolev growth and Hardy potential. Acta Math. Sci. Ser. B Engl. Ed. 37 (2017), 58-68.

7   Uniqueness and nondegeneracy of ground states for Choquard equations in three dimensions. Calc. Val. Partial Differential Equations 55 (2016), 55:134.

8   Remarks on nondegeneracy of ground states for quasilinear Schrodinger equations. Discrete Contin. Dyn. Syst. 36 (2016), 5789-5800.

9   Uniqueness of positive radial solutions to singular critical growth quasilinear elliptic equations. Ann. Acad. Sci. Fenn. Math. 41 (2016), 143-166. (with Cheng-Jun He)

10  Infinitely many solutions for p-Laplacian equation involving double critical terms and boundary geometry. Ann. Acad. Sci. Fenn. Math. 41 (2016), 973-1004. (with Chunhua Wang)

11  A note on asymptotic behaviors of solutions to quasilinear elliptic equations with Hardy potential. J. Math. Anal. Appl., 441(1) (2016), 211-234. (with Cheng-Jun He)

12  -variational problems associated to measurable Finsler structures. Nonlinear Anal. 132 (2016), 126-140. (with Chang-Yu Guo and Dachun Yang)

13  Quantitative properties on the steady states to a Schrodinger-Poisson-Slater system.  Acta Math. Sin. (Engl. Ser.) 31 (2015), 1845-1856.

14 Asymptotic behaviors of solutions to quasilinear elliptic equations with critical Sobolev growth and Hardy potential. J. Differential Equations 259 (2015), 3929-3954.

 

 

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