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

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

Speaker: Haijun Luo (Hunan University)
Time: Dec 14, 2023, 14:00-15:00
Location: Tencent Meeting 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.