张梦杰，汉族，中共党员，理学博士。2023年6月于中国人民大学取得博士学位。2023年9月-2025年9月于清华大学从事博士后研究。2025年11月加入山东财经大学山东省区块链金融重点实验室。主要研究方向为图上的几何与分析、非线性泛函分析。
联系邮箱：zhangmengjie@sdufe.edu.cn
一、发表SCI论文
(注：星号*为通讯作者, 井号#为姓氏排序)
1. M. Zhang, Y. Lin, Y. Yang*. Fractional Laplace operator and related Schrödinger equations on locally finite graphs, Calculus of Variations and Partial Differential Equations, 64 (2025), no. 7, Paper No. 227, 27 pp.
2. M. Zhang, Y. Lin, Y. Yang*. Fractional Laplace operator on finite graphs, Revista Matemática Complutense, (2025).
3. M. Zhang*. Nonexistence of extremals for an improved Adimurthi-Druet inequality involving $L^p$-norm on a closed Riemann surface. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. RACSAM, 118 (2024), no. 1, Paper No. 27, 20 pp.
4. M. Zhang*. Blow-up analysis on line bundles over a compact Riemann surface with smooth boundary. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. RACSAM, 118 (2024), no. 3, Paper No. 119, 38 pp.
5. Y. Liu# and M. Zhang#*. Existence of solutions for nonlinear biharmonic Choquard equations on weighted lattice graphs. Journal of Mathematical Analysis and Applications, 534 (2024), no. 2, Paper No. 128079, 18 pp.
6. Y. Liu# and M. Zhang#*. The ground state solutions for the Choquard equation with p-Laplacian on finite lattice graphs, Acta Mathematica Sinica (English Series), 41 (2025), no. 8, 1953-1965.
7. M. Zhang*. A trace Trudinger-Moser inequality involving $L^p$-norm on a compact Riemann surface with boundary. Proceedings of the American Mathematical Society, 152 (2024), no. 6, 2555-2570.
8. Y. Liu# and M. Zhang#*. The ground state solutions to a class of biharmonic Choquard equations on weighted lattice graphs. Bulletin of the Iranian Mathematical Society, 50 (2024), no. 1, Paper No. 12, 17 pp.
9. M. Zhang and Y. Yang*. Existence results for mean field type equations on line bundles. Studia Mathematica, 276 (2024), no. 3, 195-231.
10. Y. Liu#* and M. Zhang#. A heat flow with sign-changing prescribed function on finite graphs. Journal of Mathematical Analysis and Applications, 528 (2023), no. 2, Paper No. 127529, 17 pp.
11. M. Zhang and Y. Yang*. Existence of critical points for a mean field functional on a compact Riemann surface with boundary. Studia Mathematica, 268 (2023), no. 2, 167-185.
12. M. Zhang and Y. Yang*. Existence results for the mean field equation on a closed symmetric Riemann surface. Journal of Mathematical Analysis and Applications, 514 (2022), no. 1, Paper No. 126263, 19 pp.
13. M. Zhang*. Nonexistence of extremals for a Trudinger-Moser inequality on a Riemann surface with boundary. Bulletin of the Malaysian Mathematical Sciences Society, 45 (2022), no. 4, 1559-1582.
14. M. Zhang and Y. Yang*. Critical points of a mean field type functional on a closed Riemann surface. Topological Methods in Nonlinear Analysis, 60 (2022), no. 1, 267-285.
15. M. Zhang*. Critical trace Trudinger-Moser inequalities on a compact Riemann surface with smooth boundary. Chinese Annals of Mathematics, Series B, 43 (2022), no. 3, 425-442.
16. Y. Fang# and M. Zhang#*. Improved Trudinger-Moser inequality involving $L^p$-norm on a closed Riemann surface with isometric group actions. International Journal of Mathematics, 33 (2022), no. 5, Paper No. 2250038, 20 pp.
17. M. Zhang*. Extremal functions for a class of trace Trudinger-Moser inequalities on a compact Riemann surface with smooth boundary. Communications on Pure and Applied Analysis, 20 (2021), no. 4, 1721-1735.
18. M. Zhang*. A Trudinger-Moser inequality involving $L^p$-norm on a closed Riemann surface. Acta Mathematica Sinica (English Series), 37 (2021), no. 4, 538-550.
19. M. Zhang*. A Trudinger-Moser inequality with mean value zero on a compact Riemann surface with boundary. Mathematical Inequalities and Applications, 24 (2021), no. 3, 775-791.
20. M. Zhang*. On extremals for the Trudinger-Moser inequality with vanishing weight in the N-dimensional unit ball. Mathematical Inequalities and Applications, 23 (2020), no. 2, 699-711.
21. M. Zhang*. Extremals for a Trudinger-Moser inequality with a vanishing weight in the unit disk. Analysis Mathematica, 46 (2020), no. 3, 639-654.
22. M. Zhang*. A Trudinger-Moser inequality of Adimurthi-Druet type involving higher order eigenvalues. Archiv der Mathematik, 113 (2019), no. 4, 399-413.
23. Y. Fang# and M. Zhang#*. On a class of Kazdan-Warner equations. Turkish Journal of Mathematics, 42 (2018), no. 5, 2400-2416.
二、科研项目
1. 参与国家自然科学基金面上项目：图上的几何分析及在图深度学习中的应用。
2. 主持中国博士后科学基金国家资助博士后研究人员计划：局部有限图上分数阶 Sobolev空间及分数阶偏微分方程的研究。
3. 主持中国人民大学研究生科学研究基金项目。
4. 主持中国人民大学拔尖创新人才培育资助计划。
