个人简介
工作与教育背景
2012.07--今 中央民族大学 理学院 副教授
2009.09-2012.06 中国科学院数学与系统科学研究院 理学博士(导师:曹道民研究员)
2006.09-2009.06 郑州大学 数学系 理学硕士
2002.09-2006.06 郑州大学 数学系 学士
教学获奖概况
2019年11月获 全国高校数学微课程教学设计竞赛一等奖
2019年8月获 北京高校数学微课程教学设计大赛特等奖
2019年8月获 全国高校数学微课程教学设计大赛华北赛区特等奖
2017年9月获 北京高校第十届青年教师教学基本功比赛三等奖
2016年11月获 中央民族大学第十届教师教学大赛一等奖
2016年11月获 中央民族大学第十届教师教学大赛最佳教学演示奖
2016年11月获 中央民族大学第十届教师教学大赛最佳教案奖
研究领域
应用数学专业,偏微分方程及非线性泛函分析方向
具体研究领域为色散方程、非线性椭圆方程等
前期研究的具体问题源于菲尔兹奖得主J. Bourgain, T. Tao以及F. Merle等著名数学家提出的公开问题;目前同时关注非线性泛函分析,非线性椭圆方程的扰动(Lyapunov-Schmidt约化)方法的研究,希望与含时间方程的Modulation理论相结合
近期论文
查看导师最新文章
(温馨提示:请注意重名现象,建议点开原文通过作者单位确认)
Qing Guo, Junyuan Liu, Shuangjie Peng,Existence and non-degeneracy of positive multi-bubbling solutions to critical elliptic systems of Hamiltonian type, Journal of Differential Equations, 2023, 16-61.
Qing Guo,Jing Yang,Excited states for two-component Bose-Einstein condensates in dimension two,Journal of Differential Equations,343,2023,659-686.
Qing Guo, Yuxia Guo, Shuangjie Peng,New existence of multi-spike solutions for the fractional Schrodinger equations,Science China-Mathematics,10.1007/s11425-000-0000-0
Qing Guo, Peng Luo, Chunhua Wang, Jing Yang, Existence and local uniqueness of normalized peak solutions for a Schrödinger-Newton system, to appear on Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze. 2022,DOI:10.2422/2036-2145.202010_019
Qing Guo, Shuying Tian, Yang Zhou, Curve-like concentration for Bose-Einstein condensates, Calculus of Variations and Partial Differential Equations, 2022, 61:63
Qing Guo, Lixiu Duan, Infinitely many solutions for the fractional nonlinear Schrödinger equations of a new type, Journal of Partial Differential Equations, 2022,3:259-280.
Qing Guo, Lixiu Duan, Non-existence of mlti-peak solutions to the Schrödinger-Newton system with L2 constraint, Acta Mathemacae Applicatae Sinica, 2022, DOI:10.1007/s10255-022-1105-5.
Zaihui Gan, Qing Guo, Yong Lu, Regularity and stability of finite energy weak solutions for the Camassa-Holm equations with nonlocal viscosity,Calculus of Variations and Partial Differential Equations, 2021, 60:26
Qing Guo, Hua Wang, Xiaohua Yao, Dynamics of the focusing 3D cubic NLS with slowly decaying potential, Journal of Mathematical Analysis and Applications, DOI:10.1016/j.jmaa.2021.125653.
Qing Guo, Huafei Xie, Existence and local uniqueness of normalized solutions for two-component Bose-Einstein condensates, Zeitschrift fur Angewandte Mathematik und Physik,2021, 72(6):189.
Qing Guo, Huafei Xie, Non-Degeneracy of Peak Solutions to the Schrödinger–Newton System, Advanced Nonlinear Studies, 2021, 21(2): 447-460.
Qing Guo, Infinitely many non-radial positive solutions to the double-power nonlinear Schrodinger equations, Applicable Analysis 2021, 1889519.
Qing Guo, Daomin Cao, Hang Li, Existence of optical vortices in R2,Nonlinear Analysis: Real World Applications,2019,50:64-85.
Yiming Su, Qing Guo, Blow-up solutions to nonlinear Schrodinger system at multiple points, Zeitschrift fur Angewandte Mathematik und Physik,2019,70(20): 010001-14
Qing Guo, Hua Wang, Xuewen Wang, Minimal blow-up initial data for potential blow-up solutions to inter-critical Schroinger equations, Applicable Analysis, 2019
Qing Guo, Orbital stability of solitary waves for generalized derivative nonlinear Schrodinger equations in that endpoint case, Annales Henri Poincare, 2018,19(9):2701-2715
Qing Guo, Shihui Zhu, Sharp threshold of blowup and scattering for the fractional Hartree equation, Journal of Differential Equations, 2018, 264(4):2802-2832(ESI高被引论文)
Qing Guo, Xiaoming He, Semiclassical states for weakly coupled fractional Schrödinger systtems, Journal of Differential Equations, 2017, 263(4):1986-2023
Qing Guo, Scattering for the focusing subcritical biharmonic NLS Equations, Communications in Partial Differential Equations, 2016, 41(2): 185-207
Qing Guo, Xiaoming He, Least energy solutions for a weakly coupled fractional Schrödinger system, Nonlinear Analysis-Theory Methods and Applications, 2016, 32:141-159
Qing Guo, Xiaoming He, Semiclassical states for fractional Schrodinger equations with critical growth, Nonlinear Analysis-Theory Methods and Applications, 2016, 151:164-186
Qing Guo, Yiming Su, Instability of standing waves for inhomogeneous Hartree equations, Journal of Mathematical Analysis and Applications, 2016, 437: 1159-1175
Qing Guo, Divergent solutions to the L 2-supercritical NLS equations, Acta Mathematicae Applicatae Sinica, English Series, 2016,32(1):137-162
Qing Guo, A note on concentration for blowup solutions to supercritical Schrödinger equations, Proceedings of American Mathematical Society, 2013,141(12):4215-4227
Qing Guo,Orbital stability for schrodinger systems with nonautonomous coupled nonlinearities, Acta Mathematica Scientia, 2013,33(2):495-504