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Existence and stability of standing waves to Schrödinger-Poisson equations with harmonic potential

演讲者：罗海军（湖南大学）
时间：2023-12-14 14:00-15:00
地点：腾讯会议 ID 116 934 267

Abstract

In this talk, we will discuss the existence and stability of standing waves to a class of Schrödinger-Poisson equation with harmonic potential. To establish the existence result, we will employ a variant of mountain pass theorem. With regard to the stability, Lyapunov-Schmidt reduction procedure and operator spectrum analysis are introduced.