School of Mathematical Sciences Academic Report [2025] No. 045  

(High-Level University Construction Series Report No. 1067)  

Lecture Title: Ground State Solutions for Schrödinger-Poisson Systems with Multiple Critical Exponents

Speaker: Du Yao (Xihua University)  

Date & Time: 2:00–3:00 PM, May 23, 2025  

Venue: Room 426, Huixing Building  

Abstract: In this talk, Dr. Du Yao will discuss the existence of non-negative ground state radial solutions and non-trivial radial solutions for Schrödinger-Poisson systems with power-type weights in both the Schrödinger and Poisson terms. The nonlinearities may involve single or multiple weighted critical exponents. The main analytical methods employed include Ekeland’s variational principle, the Nehari manifold method, and the mountain pass theorem.

Biography: Du Yao received her Ph.D. from Capital Normal University. She currently holds a Young Scientist Project from the National Natural Science Foundation of China and a Young Scientist Project from the Sichuan Provincial Natural Science Foundation. Her research focuses on variational methods and nonlinear functional analysis, with over ten publications in domestic and international mathematical journals such as Journal of Mathematical Physics，Mathematical Methods in the Applied Sciences，Journal of Mathematical Analysis and Applications.

All faculty and students are welcome to attend!

Invited by: Huang Lanxin

School of Mathematical Sciences  

May 22, 2025