We are concerned with the stability of the ground state for the Schrödinger-Poisson equation

$ i\frac{\partial\psi}{\partial t}+\triangle\psi-(|x|^{-1}\ast|\psi|^2)\psi+|\psi|^{p-1}\psi = 0,\quad x\in \mathbb{R}^3. $

中文翻译：

---

薛定谔-泊松方程的基态稳定性

我们关心的是薛定谔-泊松方程基态的稳定性

$ i\frac{\partial\psi}{\partial t}+\triangle\psi-(|x|^{-1}\ast|\psi|^2)\psi+|\psi|^{p-1 }\psi = 0,\quad x\in \mathbb{R}^3。$