郭青 - 中央民族大学

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