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郭千桥
2012-02-17 11:28  

 

 

基本信息

姓名:郭千桥

职称:副教授

所在团队:偏微分方程理论及其应用

研究方向:偏微分方程理论及其应用

办公室:理学院楼A206

电子邮件:gqianqiao@nwpu.edu.cn

 

教学活动(近五年)

课程名称(授课对象)

实变函数与泛函分析

工科泛函分析

经济数学基础

高等数学

数学系本科生

研究生(公共课)

本科生(公共课)

本科生(公共课)

论文及著作

[1]          Qianqiao Guo, Pengcheng Niu, Nodal and positive solutions for singular semilinear elliptic equations with critical exponents in symmetric domains, J. Differential Equations 245 (2008) 3974-3985. (SCI 检索)

[2]          Qianqiao Guo, Pengcheng Niu, Yongzhong Wang, Global compactness results for singular quasilinear elliptic problems with critical Sobolev exponents and applications, Nonlinear Analysis 71 (2009) 2944-2963. (SCI 检索)

[3]          Qianqiao Guo, Pengcheng Niu, Xuewei Cui, Existence of sign-changing solutions for semilinear singular elliptic equations with critical Sobolev exponents, J. Math. Anal. Appl. 361 (2010) 543-557. (SCI 检索)

[4]          Qianqiao Guo, Pengcheng Niu, Existence of a fixed point for a semicontinuous operator and its application, Nonlinear Analysis 66 (2007) 1141-1144. (SCI 检索)

[5]          Qianqiao Guo, Pengcheng Niu, Some theorems on existence and uniqueness of fixed points for decreasing operators, Computers and Mathematics with Applications 57 (2009) 1515-1521. (SCI 检索)

[6]          Qianqiao Guo, Pengcheng Niu, Jingbo Dou, Multiplicity of solutions for singular semilinear elliptic equations with critical Hardy-Sobolev exponents, Appl. Anal. Discrete Math. 2 (2008) 158-174. (SCI 检索)

[7]          Yuanyuan Li, Qianqiao Guo, Pengcheng Niu, Global compactness results for quasilinear elliptic problems with combined critical Sobolev-Hardy terms, Nonlinear Analysis 74 (2011) 1445-1464. (SCI检索)

[8]          Jingbo Dou, Qianqiao Guo, Pengcheng Niu, Hardy inequalities with remainder terms for the generalized Baouendi-Grushin vector fields, Math. Inequal. Appl. 13 (3) (2010) 555-570. (SCI检索)

[9]          Xiaojing Feng, Pengcheng Niu, Qianqiao Guo, Multiple solutions of some boundary value problems with parametersNonlinear Analysis 74 (2011) 1119–1131.SCI检索

科研项目

[1]       国家自然科学(青年)基金项目: 对称条件下奇异临界椭圆方程的可解性, 2011.01-2013.12主持人。

[2]       西北工业大学基础研究基金:带多重临界项的奇异椭圆方程的紧性分析及可解性,2011.09-2013.08主持人

[3]       西北工业大学科技创新基金项目:带临界指数的奇异椭圆方程,2009.1.1-2010.12.31主持人。

[4]       国家自然科学基金项目:退化椭圆偏微分方程的Morrey 正则性与齐次群上的奇异积分方法,2009.01-2011.12主要参加人。

[5]       高等学校博士学科点专项科研基金项目: 向量场热方程的Morrey正则性与齐型空间上的奇异积分方法,2009.01-2011.12主要参加人。

[6]       陕西省自然科学研究计划项目:李群上的偏微分方程和不确定原理,2007.01-2008. 12主要参加人。

[7]       西北工业大学科技创新基金项目:退化椭圆方程的正则性理论,2008.01-2009.12主要参加人。

所获奖励

12009年获校优秀奖教金

2.作为指导教师参加大学生数学建模竞赛获国际一等奖、二等奖等。

社会工作

Dr. Qianqiao Guo

Office: A206, Building of School of Science

Email: gqianqiao@nwpu.edu.cn

Education:

2006. 03-2009. 11:  Ph.D., Northwestern Polytechnical University

2001. 09-2004. 06:  M.S., Shandong University

1997. 09-2001. 07:  B.S., Northwestern Polytechnical University

Teaching:

Real Variable Function & Functional Analysis, Advanced Mathematics

Research Interests:

Variational Methods, Partial Differential Equations, Nonlinear Analysis

Publications:

[1]          Qianqiao Guo, Pengcheng Niu, Nodal and positive solutions for singular semilinear elliptic equations with critical exponents in symmetric domains, J. Differential Equations 245 (2008) 3974-3985.

[2]          Qianqiao Guo, Pengcheng Niu, Yongzhong Wang, Global compactness results for singular quasilinear elliptic problems with critical Sobolev exponents and applications, Nonlinear Analysis 71 (2009) 2944-2963.

[3]          Qianqiao Guo, Pengcheng Niu, Xuewei Cui, Existence of sign-changing solutions for semilinear singular elliptic equations with critical Sobolev exponents, J. Math. Anal. Appl. 361 (2010) 543-557.

[4]          Qianqiao Guo, Pengcheng Niu, Existence of a fixed point for a semicontinuous operator and its application, Nonlinear Analysis 66 (2007) 1141-1144.

[5]          Qianqiao Guo, Pengcheng Niu, Some theorems on existence and uniqueness of fixed points for decreasing operators, Computers and Mathematics with Applications 57 (2009) 1515-1521.

[6]          Qianqiao Guo, Pengcheng Niu, Jingbo Dou, Multiplicity of solutions for singular semilinear elliptic equations with critical Hardy-Sobolev exponents, Appl. Anal. Discrete Math. 2 (2008) 158-174.

[7]          Yuanyuan Li, Qianqiao Guo, Pengcheng Niu, Global compactness results for quasilinear elliptic problems with combined critical Sobolev-Hardy terms, Nonlinear Analysis 74 (2011) 1445-1464.

[8]          Jingbo Dou, Qianqiao Guo, Pengcheng Niu, Hardy inequalities with remainder terms for the generalized Baouendi-Grushin vector fields, Math. Inequal. Appl. 13 (3) (2010) 555-570.

[9]          Xiaojing Feng, Pengcheng Niu, Qianqiao Guo, Multiple solutions of some boundary value problems with parametersNonlinear Analysis 74 (2011) 1119–1131.

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