Ground state for nonlinear Schrödinger-Poisson equation with unbounded potential and high
非线性分析与偏微分⽅程青年学术论坛
报告题目(Title)：Ground state for nonlinear Schrödinger-Poisson equation with unbounded potential and high
报告人(Speaker)：王征平 （武汉理⼯⼤学）
地点(Place)：后主楼 1220
时间(Time)：2019年6月30日 10:00-10:40
邀请人(Inviter)：李海刚
报告摘要
In this talk, we give some recent results on the existence of ground state for nonlinear
Schrödinger-Poisson equation with unbouned potential and high frequency. By using Ekeland’s
variational principle and constrained minimization approach, we prove that there exists a
nonnegative ground state with negative energy, which bifurcates from zero. For the special case of
Schrödinger-Poisson-Slater equation with harmonic potential, we show that the ground state must
be nonradial.
