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基本信息 The basic information
姓名: 郭千桥

学院: 数学与统计学院


学历: 博士研究生毕业

学位: 理学博士


职称: 副教授

职务: 院长助理


学科: 数学





工作经历 Work Experience
2004年至今在西北工业大学应用数学系工作，曾访问德国University of Giessen, 美国University of Oklahoma等大学。




教育教学 Education And Teaching
讲授数学系本科生《数学分析》、《泛函分析》，数学系研究生《变分法及其应用》，工科《高等数学》等课程。



科学研究 Scientific Research



1.研究兴趣
主要从事偏微分方程理论及应用、非线性泛函分析等方向的研究工作。在Adv. Math., Calc. Var. Partial Differential Equations, J. Differential Equations等期刊发表论文二十余篇。
2.科研项目
(1)国家自然科学基金：带临界Hardy-Littlewood-Sobolev指数的积分方程正解的存在性，2020.01-2023.12。
(2)国家自然科学基金:群对称条件下奇异临界椭圆方程的可解性，2011.01-2013.12。
3.Publications
[1] Qianqiao Guo, Jaroslaw Mederski, Ground states of nonlinear Schrodinger equations with sum of periodic and inverse-square potentials，J. Differential Equations 260 (2016) 4180–4202.
[2] Qianqiao Guo, Meijun Zhu, Blowup analysis for a nonlinear equation with negative exponent, J. Math. Anal. Appl. 436 (2016) 822-834.
[3]郭千桥，胡云云，次临界分数阶Laplace方程具有两个bubbles的变号解存在性，数学学报，59 (5)(2016) 559-676.
[4] Thomas Bartsch, Qianqiao Guo, Nodal blow-up solutions to slightly subcritical elliptic problems with Hardy-critical term, Adv. Nonlinear Stud. 17(2017) 55-85.
[5] Jingbo Dou, Qianqiao Guo, Meijun Zhu, Subcritical approach to sharp Hardy–Littlewood–Sobolev type inequalities on the upper half space, Adv. Math.; Corrigendum to“Subcritical approach to sharp Hardy-Littlewood-Sobolev type inequalities on the upper half space”[Adv. Math., 312 (2017) 1-45], Adv. Math. 317 (2017) 640-644.
[6] Qianqiao Guo, Blowup analysis for integral equations on bounded domains, J. Differential Equations 266 (2019) 8258–8280.
[7] Qianqiao Guo, Qian Wang, Existence of positive solutions to integral equations with weights, Appl. Math. Lett. 102 (2020) 106089, 7 pp.
[8] Qianqiao Guo, Jing Wu, Existence of solutions to the logarithmic Choquard equations in high dimensions,Bull. Malays. Math. Sci. Soc.43(2)(2020) 1545-1553.
[9] QianqiaoGuo,XiaodongWang, Uniqueness results for positive harmonic functions on B^n satisfying a nonlinear boundary condition，Calc. Var. Partial Differential Equations59(2020),No. 146, 8 pp.
[10] Jingbo Dou,Qianqiao Guo,Meijun Zhu,Negative power nonlinear integral equations on bounded domains，J. Differential Equations 269 (2020) 10527–10557.



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