性别

男

联系电话

电子邮件

qili@wust.edu.cn@wust.edu.cn

通信地址或办公室

6163银河线路检测中心黄家湖校区6163银河线路检测中心数学与统计系

研究方向

非线性偏微分方程、非线性泛函分析等

工作经历（包括社会兼职）

2018.09-2021.06 华中师范大学数学与统计学学院 博士研究生 导师：彭双阶教授

2021.08-2023.10 6163银河线路检测中心 讲师

2023.10-至今 6163银河线路检测中心 副教授

➤主要论文

1. 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.

2. 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.

3. 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.

4. 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.

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

6. 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

7. 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.

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

9. 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.

10. 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

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

12. 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.

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

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

15. 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.

16. 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.

17. 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.

➤主要科研项目

1. 主持国家自然科学基金青年项目：含非局部项的椭圆型方程在变分框架下解的存在性与性态分析(12201474)，2023.01-2025.12，30万元

2. 参与国家自然科学基金面上项目：几类典型椭圆和抛物问题爆破解的存在性和性态分析(12071169)，2021.01-2024.12，51万元

3. 参与国家自然科学基金面上项目：椭圆方程中的非光滑变分理论及其应用(12071170)，2021.01-2024.12，51万元

4. 主持华中师范大学优秀博士学位论文培育计划立项项目：关于分数阶Lazer-McKenna猜想的研究 (2019YBZZ057)，2019.09-2020.06，2万元

5. 主持华中师范大学优秀博士学位论文培育计划立项项目：一类次临界指标的非线性薛定谔方程组多解性的研究(2018YBZZ067)，2018.09-2019.06，2万元

➤主讲课程

1. 线性代数

2. 概率论与数理统计

3. 复变函数与积分变换

➤主要著作

➤主要获奖情况

1. 第十五届非线性偏微分方程暑期讲习班特等奖

2. 2017年硕士研究生国家奖学金

3. 2020年华中师范大学“校长奖”

4. 2020年博士研究生国家奖学金

5. 2021年华中师范大学优秀毕业生