Liying Shan

Existence of solution for Schr\"odinger-Newton system with vanishing magnetic potential

In this paper, we study the following Schr\"odinger-Newton system with a vanishing magnetic potential and an electric potential \begin{equation}\label{0.1} \left\{ \renewcommand{\arraystretch}{1.25} \begin{array}{ll} (-i\nabla +A(x))^2u+V(x)u=\Phi u, \&x\in\mathbb{R}^3,\\ -\Delta \Phi =|u|^2, \&x\in\mathbb{R}^3, \end{a...