基本信息

职称： 副教授

系部： 数学系

办公室： 数学系315

Email：20200059@cqnu.edu.cn

tingxi.hu@cqnu.edu.cn

研究方向： 非线性泛函分析、非线性偏微分方程

主讲课程： 《数学分析》、《高等数学》

代表论著：

1. Tingxi Hu, Lu Lu. Concentration and local uniqueness of minimizers for mass critical degenerate Kirchhoff energy functional. J. Differential Equations 363 (2023), 275--306.

2. Tingxi Hu, Lu Lu. Vortex states of Bose-Einstein condensates with attractive interactions. Discrete Contin. Dyn. Syst. 43 (2023), no.5, 2102--2119.

3. Tingxi Hu, Chun-Lei Tang. Limiting behavior and local uniqueness of normalized solutions for mass critical Kirchhoff equations. Calc. Var. Partial Differential Equations 60 (2021), no.6, Paper No. 210.

4. Shengbing Deng, Tingxi Hu, Chun-Lei Tang. N-Laplacian problems with critical double exponential nonlinearities. Discrete Contin. Dyn. Syst. 41 (2021), no.2, 987--1003.

5. Tingxi Hu, Lu Lu. On the existence of least energy solution for Kirchhoff equation in R3. Math. Methods Appl. Sci. 43 (2020), no. 7, 4585--4597.

6. Lun Guo, Tingxi Hu. Multi-bump solutions for nonlinear Choquard equation with potential wells and a general nonlinearity. Acta Math. Sci. Ser. B (Engl. Ed.) 40 (2020), no. 2, 316--340.

7. Tingxi Hu, Lu Lu. Asymptotic properties of standing waves for Maxwell-Schrödinger-Poisson system. J. Math. Anal. Appl. 486 (2020), no. 1, Paper No. 123835.

8. Lun Guo, Tingxi Hu, Shuangjie Peng, Wei Shuai. Existence and uniqueness of solutions for Choquard equation involving Hardy-Littlewood-Sobolev critical exponent. Calc. Var. Partial Differential Equations 58 (2019), no. 4, Paper No. 128.

9. Tingxi Hu, Lu Lu. Infinitely many positive solutions for Kirchhoff equations with competing coefficients. Z. Angew. Math. Phys. 70 (2019), no. 2, Paper No. 53.

10. Tingxi Hu, Wei Shuai. Multi-peak solutions to Kirchhoff equations in R3 with general nonlinearity. J. Differential Equations 265 (2018), no.8, 3587--3617.

11. Lun Guo, Hu Tingxi. Existence and asymptotic behavior of the least energy solutions for fractional Choquard equations with potential well. Math. Methods Appl. Sci. 41 (2018), no. 3, 1145--1161.

12. Tingxi Hu, Lu Lu. On some nonlocal equations with competing coefficients. J. Math. Anal. Appl. 460 (2018), no. 2, 863--884.

13. Tingxi Hu, Lu Lu. Multiplicity of positive solutions for Kirchhoff type problems in R3. Topol. Methods Nonlinear Anal. 50 (2017), no. 1, 231--252.

主持项目：

1. 国家自然科学基金委青年项目， NSFC11901473， 几类Kirchhoff型椭圆型方程多峰解的存在性研究，2020/01--2022/12.

2. 中国博士后科学基金会面上资助，2018M643389，Choquard方程半经典态解的存在性与多解，2018/11--2020/07.

3. 重庆市自然科学基金面上项目，CSTB2022NSCQ-MSX0302，几类椭圆型方程规范解的集中现象，2022/08--2025/07.

4. 重庆市教育委员会科学技术研究项目，KJQN202200515，拟线性椭圆型方程解的集中现象，2022/09--2025/09.