华侨大学数学科学学院导师简介：陈少伟

姓名

陈少伟

出生年月

性别

男

出生地/籍贯

职称

教授

院系

华侨大学数学科学学院

研究方向

 非线性泛函分析， 临界点理论， 非线性椭圆方程，Hamilton系统

个人邮箱

swchen@hqu.edu.cn

教育背景

12006年7月至2008年7月 在北京大学数学科学学院从事博士后研究.     

2. 2002年9月至2005年7月就读于中国科学院数学与系统科学研究院 2005年7月获博士学位专业基础数学.     
3. 2000年9月至2002年7月就读于福建师范大学数学系 2002年7月获硕士学位。     
4. 1996年9月至2000年7月就读于福建师范大学数学系 2000年7月获学士学位
5.2014.1.20-2014.7.25, 美国犹他州立大学(Utah State University)数学与统计系, 访问学者.    
6.2015.7.24-2015.8.6和2016.7.25-2016.8.8, 陈省身数学研究所, 访问学者

主讲课程

承担过《复变函数论》、 《高等数学》、 《数学分析》、 《实变函数》、 《泛函分析》、 《非线性泛函分析》、 《偏微分方程》、 《极小极大方法》等本科和研究生课程教学任务。

科研成果

（一）主持课题

主持过数学天元基金、 博士后科研基金、. 北京市自然科学基金、国家自然科学基金青年基金等科研项目。

（二）代表性论著、论文

1 Chen Shaowei and Li Yongqing, On the existence of positive solution for a semilinear elliptic equation in upper half spaceAbstract Appl. Anal., (2002) 7:1, 29-34.
2Chen Shaowei and Li Yongqing, The nontrivial solution for a semilinear elliptic equation in unbounded domain with critical Sobolev exponent, J. Math. Anal. Appl.,  272 (2002),  393-406   3 Chen Shaowei and Li Yongqing, A Theorem about Representation of Palais-Smale Sequence and its Applications, Nonlinear Analysis, 56 (2004), 601-624
4. Chen Jianqing, Chen Shaowei and Li Yongqing, On a Quasilinear Elliptic Eigenvalue  Problem with Constraint, Science in China 47:4 (2004), 523-538  
5. Chen Shaowei, Li Yongqing and Li, Shujie, On the existence of positive solution for a semilinear elliptic equation on Esteban–Lions domain with “hole”, Nonlinear Analysis, 61 (2005), 1257-1268   
6.Chen Shaowei and Li shujie, An elliptic problem with critical exponent and positive Hardy potential, Abstract Appl. Anal., (2004) 2, 91-98.
7.Shaowei Chen, Shujie Li, On a nonlinear elliptic eigenvalue problem, J. Math. Anal. Appl.,  307 (2005), 691-698   
8.Shaowei Chen and Shujie Li, Splitting lemma in the infinity and a strong resonant problem with periodic nonlinearity, Nonlinear Analysis, 65 (2006), 567-582.  
9.Shaowei Chen and Shujie Li, Splitting lemma in the infinity and a strong resonant problem with periodic nonlinearity, Calculus of Variations and Partial Differential Equations, 27 (2006) , 105-123 10. Shaowei Chen and Shujie Li, Hardy–Sobolev inequalities in half-space and some semilinear elliptic equations with singular coefficients , Nonlinear Analysis, 66 (2007), 324-348.   
11Shaowei Chen, Multi-bump solutions for a strongly indefinite semilinear Schrödinger equation without symmetry or convexity assumptions, Nonlinear Analysis, 68 20083067-3102.
12.Shaowei Chen, Some existence results for a simplified two fluid system in plasma theory, J. Math. Anal. Appl., 343 (2008), 681-705.
13.Lishan Lin,  Zhaoli Liu, Shaowei Chen, Multi-bump solutions for a  semilinear Schrödinger equation,  Indiana Univ. Math. J.  58 (2009),1659-1689.  
14.Shaowei Chen, Lishan Lin, Results on  entire solutions  for a degenerate critical elliptic equation with anisotropic coefficients, Science China: Mathematics, 2011, Vol 54 ,No2 221-242.
15.Shaowei Chen, Existence and concentration of semiclassical states for nonlinear Schrodinger equations, Electron. J. Diff. Equ., Vol 2012 (2012),  No 85, 1-36.     
16.Shaowei Chen, Existence of positive  solutions for a critical  nonlinear Schrödinger equation  with vanishing or coercive  potentials,  Boundary Value Problems, 2013:201 .     
17.Shaowei Chen, Conglei Wang, Existence of multiple nontrivial solutions for a Schrödinger -Poisson system, J. Math. Anal. Appl.  411 (2014) 787–793      
18.Shaowei Chen, Liqin Xiao, Existence of multiple nontrivial solutions for a strongly indefinite Schrödinger-Poisson system, Abstract Appl. Anal. Volume 2014, Article ID 240208.
19. Shaowei Chen, Dawei Zhang, Existence of nontrivial solutions for periodic Schrödinger equations with new nonlinearities, Abstract Appl. Anal. Volume 2014, Article ID 539639, 10 pages      20. Shaowei. Chen, Dawei Zhang, Existence of nontrivial solution for a 4-sublinear Schrödinger-Poisson system, Appl. Math. Lett.  38 (2014),135-139      
20.Shaowei Chen, Conglei Wang, An infinite-dimensional linking theorem without upper  semi-continuous assumption and its applications, J. Math. Anal. Appl. 420 (2014) 1552-1567.       22. Shaowei Chen, Dawei Zhang, Existence of nontrivial solutions for asymptotically linear periodic Schrödinger equations, Complex Variables and Elliptic Equations, 60 (2015) 252-267.  23. Shaowei Chen, Lishan Lin, Liqin Xiao, Existence results for the periodic Thomas-Fermi-Dirac-von Weizsacker equations, Advances in Mathematical Physics,        Volume 2015, Article ID 652407, 9 pages, 2015.      
24.Shaowei Chen, Lishan Lin, Liqin Xiao, Nontrivial solutions for periodic Schrödinger equations with sign-changing nonlinearities, J. Function Spaces, Volume 2015, Article ID 757153, 12 pages, 2015.    
25 .Shaowei Chen, Shibo Liu, Standing waves for 4-superlinear Schrödinger-Kirchhoff equations, Mathematical Methods in the Applied Sciences, 38 (2015),2185-2193.  
26.  Shaowei Chen, Lishan Lin, Liqin Xiao, A new infinite-dimensional  linking theorem for  parameter-dependent functionals and periodic Schrödinger equations, J. Math.  Anal. Appl. 432 (2015) 233-253.
27. Shaowei Chen, Liqin Xiao, Existence of a nontrivial solution for a strongly  indefinite   periodic Choquard  system, Calc. Var. Partial Differential Equations 54 (2015), no. 1, 599–614    28. Shaowei Chen,Zhi-Qiang Wang, Existence and multiple solutions for a critical  quasilinear equation with singular potentials, NoDEA Nonlinear Differential Equations Appl. 22 (2015), no. 4, 699–719.  
29.  Shaowei Chen, Haijun Zhou, A nonlinear Schrödinger equation resonating at an essential spectrum, Advances in Mathematical Physics,  Volume 2016, Article ID 3042493, 10 pages, 2016. 30. Shaowei Chen, Hai Xu, Existence of infinitely many solutions of a beam equation with non-monotone nonlinearity, Nonlinear Analysis: Real World Applications, 33 (2017) 181–199.
31. Shaowei Chen, Zhi-qiang Wang,  Localized nodal solutions of higher topological type for semiclassical nonlinear Schrodinger equations, Calculus of Variations and Partial Differential Equations, 已接受,待发表
32. Shaowei Chen, Zhaoli Liu,  Zhi-qiang Wang, A variant of Clark's theorem for non-smooth functionals without the Palais-Smale condition and its applications, SIAM Journal on Mathematical Analysis, 已接受,待发表