Title：Multiplicity of normalized solutions for nonlinear Choquard equations

Abstract：In this talk, we report our recent works about the existence of normalized solutions to Choquard equation. Under the general assumption of the nonlinear term F and within an appropriate mass range, we prove the existence and multiplicity of solutions to Choquard equation, which may manifest as global minimizer, local minimizer, or mountain pass-type solutions.

Speaker：Li Guidong, Ph.D., Master's Supervisor, Distinguished Professor at Guizhou University, and Reviewer for the American Mathematical Society's Math. Review. His research focuses on nonlinear functional analysis and its applications in partial differential equations. He has published over 30 papers in internationally recognized mathematics journals such as J. Differential Equations, Nonlinearity, and Nonlinear Anal., including 7 papers in SCI Zone 1 and 5 papers in Zone 2. Currently, he is leading three research projects, including a National Youth Fund project. He also serves as a reviewer for SCI journals such as Adv. Nonlinear Anal., J. Math. Anal. Appl., Complex Variables and Elliptic Equations, Communications in Nonlinear Science and Numerical Simulation, Appl. Math. Lett., and Qual. Theory Dyn. Syst..

He has been in charge of several National Natural Science Foundation of China and provincial and ministerial projects, and has authored two English academic works and one translation.

Date：3:00pm-5:00pm 2025-02-20（Thursday）.

Place：Room 208, Building 56#

Organizer：School of Mathematical Science

Inviter：Qiang Sun

Students and teachers who are interested in graph theory are welcome.