刘森立

  • 性 别:
  • 职称:讲师
  • 学 历:博士研究生
  • 学院:数学与计算科学学院
  • 系部所:信息与计算科学系
  • 执教层次:
  • 电话:
  • 电子邮箱:liusl@hnust.edu.cn

基本情况

刘森立,博士,湖南科技大学数学与计算科学学院讲师

学习经历

2011.09-2015.06 湖南师范大学数学与应用数学专业本科生

2015.09-2018.06 中南大学应用数学专业硕士

2018.09-2023.06 中南大学应用数学专业博士

2021.11-2022.11 乌迪内大学数学、物理与信息学院联合培养博士研究生

工作经历

2023.06-至今 湖南科技大学数学与计算科学学院讲师

承担课程

本科生课程:高等数学、数学分析、复变函数

主持课题

1. 主持非齐次半波Choquard方程行波解的存在性及其性态研究,国家自然科学基金青年项目,(项目编号:12401200)2025/01-2027/12.

代表性论文

1. S. Liu, J. Yang, Y. Su, Regularity for critical fractional Choquard equation with singular potential and its applications, Advances in Nonlinear Analysis, 2024, 13: 20240001.

2. S. Liu, Z. Liu, Existence of positive bound solutions to critical fractional Schrodinger equation in $R_N^+$, Differential and Integral Equations, 2024, 37 (9-10), 671-698.

3. D. Bartolucci, A. Jevnikar, J. Jin, C. Lin, S. Liu, Non-degeneracy and uniqueness of solutions to general singular Toda systems on bounded domains, Journal of Mathematical Analysis and Applications, 2023.

4. S. Liu, Y. Su, S. Wang, Ground State Solution of Schrodinger-Poisson-Choquard Equation: Double Critical Case, Results in Mathematics, 2022, 77:156. 

5. S. Liu, H. Chen, Pohoˇzaev-type ground state solutions for Choquard equation with singular potential and critical exponent, Topological Methods in Nonlinear Analysis, 2022, 59 (2B), 1069-1090. 

6. S. Liu, H. Chen, Existence and asymptotic behaviour of positive ground state solution for critical Schrodinger-Bopp-Podolsky system, Electronic Research Archive, 2022, 30(6): 2138-2164. 

7. S. Liu, H. Chen, Existence of ground state solutions for p-Choquard equations with singular potential and doubly critical exponents, Mathematische Nachrichten, 2022, Accepted. 

8. S. Liu, H. Chen, Ground state solutions for nonlinear Choquard equation with singular potential and critical exponents, Journal of Mathematical Analysis and Applications, 2022, 507, 125799. 

9. S. Liu, Haibo Chen, Fractional Kirchhoff-type equation with singular potential and critical exponent, Journal of Mathematical Physics, 2021, 62, 111505. 

10. S. Liu, J. Yang, Y. Su, H. Chen, Sign-changing solutions for a fractional SchrodingerPoisson system, Applicable Analysis, 2021, in press, doi:10.1080/00036811.2021.1991916. 

11. S. Liu, H. Chen, Z. Feng, Schrodinger-Poisson systems with singular potential and critical exponent, Electronic Journal of Differential Equations, 2020, 2020(130): 1-17. 

12. S. Liu, J. Yang, H. Chen, Infinitely many sign-changing solutions for Choquard equation with doubly critical exponents, Complex Variables and Elliptic Equations, 2020, in press, doi:10.1080/17476933.2020.1825394. 

13. S. Liu, H. Chen, Existence and nonexistence of solutions for a class of Kirchhoff type equation involving fractional p-Laplacian, Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas, 2020, 114:161.

研究方向

非线性分析、非局部微分方程与动力系统