Research Interests: Nonlinear functional analysis

Yuan Shuai is currently a Lecturer at the School of Mathematical Sciences, Hebei Normal University. He mainly works in the fields of elliptic partial differential equations and nonlinear analysis, and has published numerous papers in journals such as SIAM J. Math. Anal., Nonlinearity, Bull. London Math. Soc., J. Geom. Anal., Nonlinear Anal., and Forum Math. He currently leads one Young Scientists Fund project of the National Natural Science Foundation of China.

Education and Work Experience:

2013.9-2017.6 Yanshan University, Bachelor of Science, Information and Computing Science

2017.9-2020.6 Central South University, Master of Science, Applied Mathematics

2020.9-2024.6 Central South University, PhD in Science, Applied Mathematics

Teaching: He teaches the undergraduate general foundation course Advanced Mathematics, as well as the undergraduate mathematics major course Mathematical Analysis.

Grant Funding:

National Natural Science Foundation of China, Young Scientists Fund: Existence and Dynamical Behavior of Normalized Solutions for Nonlocal Differential Equations (12501208), project period: 2026.1.1-2028.12.31. (Principal Investigator)

Main Published Papers:

1. Liu, Lintao; Rădulescu, Vicenţiu D.; Yuan, Shuai*, Constraint minimizers of mass critical fractional Kirchhoff equations: concentration and uniqueness. Nonlinearity 38 (2025), 045008.

2. Liu, Lintao; Teng, Kaimin; Yuan, Shuai*, Local uniqueness of minimizers for Choquard type equations. Nonlinear Anal. 255 (2025), 113764.

3. Yuan, Shuai; Rădulescu, Vicenţiu D.; Tang, Xianhua; Zhang, Limin*, Concentrating solutions for singularly perturbed fractional (N/s)-Laplacian equations with nonlocal reaction. Forum Math. 36 (2024), 783–810.

4. Papageorgiou, Nikolaos S.; Rădulescu, Vicenţiu D.; Yuan, Shuai*, Nonautonomous double-phase equations with strong singularity and concave perturbation. Bull. Lond. Math. Soc. 56 (2024), 1245–1262.

5. Liu, Lintao; Teng, Kaimin; Yuan, Shuai*, Asymptotic uniqueness of minimizers for Hartree type equations with fractional Laplacian. J. Geom. Anal. 34 (2024), 164.

6. Chen, Sitong; Rădulescu, Vicenţiu D.; Tang, Xianhua; Yuan, Shuai*, Normalized solutions for Schrödinger equations with critical exponential growth in R^{2}. SIAM J. Math. Anal. 55 (2023), 7704–7740.

7. Yuan, Shuai*; Tang, Xianhua; Chen, Sitong Normalized solutions for Schrödinger equations with Stein-Weiss potential of critical exponential growth. J. Geom. Anal. 33 (2023), 341.

8. Yuan, Shuai; Rădulescu, Vicenţiu D.; Chen, Sitong; Wen, Lixi*, Fractional Choquard logarithmic equations with Stein-Weiss potential. J. Math. Anal. Appl. 526 (2023), 127214.

9. Yuan, Shuai; Tang, Xianhua; Chen, Sitong*, One-dimensional periodic fractional Schrödinger equations with exponential critical growth. Math. Methods Appl. Sci. 46 (2023), 695–714.

10. Yuan, Shuai; Tang, Xianhua; Zhang, Jian*; Zhang, Limin Semiclassical states of fractional Choquard equations with exponential critical growth. J. Geom. Anal. 32 (2022), 290.

11. Yuan, Shuai; Tang, Xianhua; Chen, Sitong Normalized solutions of Chern-Simons-Schrödinger equations with exponential critical growth. J. Math. Anal. Appl. 516 (2022), 126523.

12. Yuan, Shuai; Chen, Sitong Symmetric ground state solutions for the Choquard logarithmic equation with exponential growth. Appl. Math. Lett. 132 (2022), 108135.