Infinitely Many Dichotomous Solutions for Elliptic Problems


Speaker: Professor Li Benniao

Topic: Infinitely Many Dichotomous Solutions for Elliptic Problems

Date: October 13rd, 2023 (Friday)

Time: 2.30p.m. -- 3.30p.m.

Venue: Room 1508, Building 9

Sponsors: School of Mathematics and Statistics, Research Institute of Mathematical Science, Institute of Science and Technology


Li Benniao is a lecturer at Jiangxi Normal University. He received his PhD from the University of New England, and did postdoctoral work at there. He mainly studies the existence and uniqueness of solutions to second-order elliptic equations. Professor Li has published many academic papers in internationally renowned academic journals.


In this talk, I will introduce some results about the Schr\odinger Newton equation. Here, we demonstrate an interesting phenomenon, which we call dichotomy, for concentrating solutions of the above Schr\odinger Newton equation. More specifically, we show the existence of infinitely many concentrating solutions which concentrate both in a bounded domain and near infinity. In addition, the non-degeneracy of the ground state is established for the above Schr\odinger Newton equation with non-constant potentials.