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  • Guo Qi

    Lecturer

    Main research directions: School of Mathematics

    office: (+86) 13161011963 qguo@ruc.edu.cn

Education Experiences:

[1] 2008.09-2021.06 PhD., Chinese Academy of Sciences, AMSS

[2] 2015.09-2018.06 M.Sc., Chinese Academy of Sciences, AMSS

[3] 2011.09-2015.06 B.S., Dalian University of Technology, School of Mathematical Sciences

Working Experiences:

[1] 2024.01-... Lecturer, School of Mathematics, Renmin University of China

[2] 2021.09-2024.01 Postdoc, School of Mathematics, Renmin University of China

Research Areas:Variational Methods, Critical Point Theory, Random Graphs, etc.

Courses:Analysis, etc.

Papers:

[1] Chen, Pan and Ding, Yanheng and Guo, Qi and Wang, Huayang, Nonrelativistic limit of normalized solutions to a class of nonlinear Dirac equations., Calc. Var. Partial Differential Equations 63, 2024, No. 90.

[2] Ding, Yanheng and Guo, Qi and Yu, Yuanyang, Semiclassical states of a type of Dirac-Klein-Gordon equations with nonlinear interacting terms, Partial Differ. Equ. Appl. 4, 2023, No. 5, 26pp.

[3] Dong, Xiaojing and Ding, Yanheng and Guo, Qi, Nonrelativistic limit and nonexistence of stationary solutions of nonlinear Dirac equations, J. Differential Equations 372, 2023, 161--193.

[4] Ding, Yanheng and Guo, Qi and Ruf, Bernhard, Stationary states of Dirac-Klein-Gordon systems with nonlinear interacting terms, SIAM J. Math. Anal. 53, 2021, No. 5, 5731--5755.

[5] Ding, Yanheng and Dong, Xiaojing and Guo, Qi, Nonrelativistic limit and some properties of solutions for nonlinear Dirac equations, Calc. Var. Partial Differential Equations 60, 2021, No. 4, 23pp. 

[6] Ding, Yanheng and Dong, Xiaojing and Guo, Qi, On multiplicity of semi-classical solutions to nonlinear Dirac equations of space-dimension n, Discrete Contin. Dyn. Syst. 41, 2021, No. 9, 4105--4123.

[7] Ding, Yanheng and Guo, Qi and Xu, Tian, Concentration of semi-classical states for nonlinear Dirac equations of space-dimension n, Minimax Theory Appl. 6, 2021, No. 1, 25--60.

[8] Ding, Yanheng and Guo, Qi and Yu, Yuanyang, Existence of semiclassical solutions for some critical Dirac equation, J. Math. Phys. 62, 2021, No. 1, 22pp.

[9] Ding, Yanheng and Guo, Qi and Yu, Yuanyang, Semiclassical states for Dirac-Klein-Gordon system with critical growth, J. Math. Anal. Appl.  488, 2020, No. 2, 29pp.

[10] Ding, Yanheng and Guo, Qi, Homoclinic solutions for an anomalous diffusion system, J. Math. Anal. Appl. 466, 2018, No. 1, 860--879.

Books/ Monograph:

[1] Ding, Yanheng and Guo, Qi and Dong, Xiaojing and Yu, Yuanyang, Variational Methods and Infinite Dimensional Hamiltonian Systems, Science Press, Beijing, 2023, viii+249.

[2] Ding, Yanheng and Guo, Boling and Guo, Qi and Xiao, Yamin, Variational Methods and Nonlinear Evolution Equations, Science Press, Beijing, 2024, viii+356.

Services & Awards:

[1] 2023.01-2025.12 National Natural Science Foundation of China (Young Scientists Fund), 12201625, Variational Methods and Infinite Dimensional Hamiltonian Systems, chair.

[2] 2021.01-2025.12 National Natural Science Foundation of China (Key Program), 12031015, Some Programs on Modern Variational Problems, participant.  

[3] 2022.06-2023.06 China Postdoctoral Science Foundation, 2022M713446, finished, chair.

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