李奇

发布时间:2025-10-28 发布者: 浏览次数:

姓名

李奇

职称及荣誉

副教授

性别

联系电话


电子邮件

qili@wust.edu.cn

通信地址或办公室

22311

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 武汉科技大学理学院           讲师

2023.10-至今   武汉科技大学理学院 副教授

➤主要论文

22. Lun Guo, Qi Li, Xiao Luo, Riccardo Molle, Standing waves for two-component elliptic system with critical growth in R^4 : the attractive case, Math. Z. 309 (2025), no. 2, Paper No. 38, 40 pp.

21. Qi Li, Shuangjie Peng, Shixin Wen, Existence of the least energy sign-changing solutions for fractional Brezis-Nirenberg problem, Adv. Differential Equations 30 (2025), no. 1-2, 69-92.

20. Mengyao Chen, Qi Li, Bound states for fractional Kirchhoff equations with critical growth, Complex Var. Elliptic Equ. 70 (2025), no. 9, 1626–1645.

19. Mengyao Chen, Lun Guo, Qi Li, 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.

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

17. 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.

16. 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.

15. 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.

14. 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.

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

12. 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

11. 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.

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.

8. 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

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

6. 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.

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

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

3. 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.

2. 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.

1. 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. 2023年入选湖北省“楚天英才计划”楚天学者



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