Li Qi

Associate Professor                             

Dept. of Mathematics and Statistics

E-MAIL: qili@wust.edu.cn

Educational Background

2018--2021, Central China Normal University, Mathematics, Doctor.

2015--2018, Central China Normal University, Pure Mathematics, Master.

2010--2014, Yangtze University, Mathematics and Applied Mathematics, Bachelor.

Work Experience

2023--Present, Associate professor, Dept. of Mathematics and Statistics, Wuhan University of Science and Technology, China.

2021--2023, Lecturer, Dept. of Mathematics and Statistics, Wuhan University of Science and Technology, China.

Research Field

Main research field is Analysis of PDE, such as existence, local uniqueness and regularity of non-local elliptic equations.

Academic Achievements

1.Mengyao Chen, Qi Li, Lun Guo, A coupled Hartree system with Hardy-Littlewood-Sobolev critical exponent: Existence and multiplicity of high energy positive solutions, J. Differential Equations 385 (2024), 1–56.

2.Qi Li, Shixin Wen, Sign-changing solutions of fractional Laplacian system with critical exponent, Math. Methods Appl. Sci. 47 (2024), no. 8, 6962–6989.

3.Lun Guo, Qi Li, Multiple high energy solutions for fractional Schrödinger equation with critical growth, Calc. Var. Partial Differential Equations 61 (2022), no. 1, Paper No. 15, 26 pp.

4.Qi Li, Shuangjie Peng, On the fractional Lazer-McKenna conjecture with critical growth, Proc. Roy. Soc. Edinburgh Sect. A 152 (2022), no. 4, 879–911.

5.Lun Guo, Qi Li, Existence and multiplicity results for fractional Schrödinger equation with critical growth, J. Geom. Anal. 32 (2022), no. 11, Paper No. 277, 32 pp.

6.Qi Li, Kefan Pan, Shuangjie Peng, Positive solutions to a nonlinear fractional equation with an external source term, Discrete Contin. Dyn. Syst. 42 (2022), no. 10, 4669–4706.

7.Qi Li, Shuangjie Peng, Wei Shuai, On fractional logarithmic Schrödinger equations, Adv. Nonlinear Stud. 22 (2022), no. 1, 41–66.

8.Haixia Chen, Mengyao Chen, Qi Li, Local uniqueness for the multi-bump solutions to the problem of Ambrosetti-Prodi type, J. Math. Phys. 63 (2022), no. 4, Paper No. 041512, 16 pp.

9.Mengyao Chen, Qi Li, Infinitely many solutions for a Kirchhoff problem with a subcritical exponent, J. Math. Anal. Appl. 507 (2022), no. 2, Paper No. 125772, 19 pp.

10.Qi Li, Binbin Zheng, A perturbed problem of elliptic system with critical exponent, Appl. Anal. 101 (2022), no. 14, 4982–4990.

11.Qi Li, Chang-Lin Xiang, A fractional critical problem with shifting subcritical perturbation, Acta Math. Sci. Ser. B (Engl. Ed.) 42 (2022), no. 3, 1113–1124.

12.Lun Guo, Qi Li, Multiple positive solutions to critical p-Laplacian equations with vanishing potential, Z. Angew. Math. Phys. 72 (2021), no. 4, Paper No. 167, 20 pp

13.Lun Guo, Qi Li, Bound state solutions of Choquard equations with a nonlocal operator, Math. Methods Appl. Sci. 44 (2021), no. 5, 3548–3567.

14.Mengyao Chen, Qi Li, Shuangjie Peng, Bound states for fractional Schrödinger-Poisson system with critical exponent, Discrete Contin. Dyn. Syst. Ser. S 14 (2021), no. 6, 1819–1835.

15.Narimane Aissaoui, Qi Li, Binbin Zheng, A perturbed Kirchhoff problem with critical exponent, Appl. Anal. 100 (2021), no. 11, 2368–2385.

16.Mengyao Chen, Qi Li, A singular perturbed problem with critical Sobolev exponent, Topol. Methods Nonlinear Anal. 58 (2021), no. 1, 181–207.

17.Mengyao Chen, Qi Li, Multi-peak solutions of a type of Kirchhoff equations with critical exponent, Complex Var. Elliptic Equ. 66 (2021), no. 8, 1380–1398.

18.Lun Guo, Qi Li, Multiple bound state solutions for fractional Choquard equation with Hardy-Littlewood-Sobolev critical exponent, J. Math. Phys. 61 (2020), no. 12, 121501, 20 pp.

19.Qi Li, The perturbation problem of an elliptic system with Sobolev critical growth, Acta Math. Sci. Ser. B (Engl. Ed.) 40 (2020), no. 5, 1391–1404.