In this paper, we study the following nonlinear Schrödinger-Poisson system \begin{document}$\left\{\begin{array}{ll} -\Delta u+u+\epsilon K(x)\Phi(x)u = f(u),& x\in \mathbb{R}^{3} , \\ -\Delta \Phi = K(x)u^{2},\,\,& x\in \mathbb{R}^{3}, \\\end{array}\right.$ \end{document} where \begin{document} $K(x)$ \end{document} is a positive and continuous potential and \begin{document} $f(u)$ \end{document} is a nonlinearity satisfying some decay condition and some non-degeneracy condition, respectively. Under some suitable conditions, which are...
