On a class of Schrodinger-Kirchhoff-Poisson systems

This article discusses the existence and multiplicity of solutions for ‎‎‎the following‎ ‎Schrodinger-Kirchhoff-Poisson ‎system:‎‎\begin{equation*}‎‎\left\{\begin{array}{ll}‎‎\displaystyle‎ -‎(a+b\int_{\mathbb{R}^۳} |\nabla u|^۲)‎‎\Delta‎ u‎ + ‎\lambda \phi u=m(x){|u|}^ {q-۲} u‎+ ‎f(x,u)‎, ‎\qquad x \in ‎\Omega‎,\\‎‎\displaystyle\\‎‎\displaystyle‎ ‎-‎\Delta‎\phi=u^۲,~‎~‎\qquad\qquad\qquad‎ ~‎\qquad x \in ‎\Omega‎,‎‎\end{array}\right.‎‎\end{equation*}‎‎where ‎‎\Omega‎ ‎is a‎ ‎bounded ‎smooth ‎domain ‎of‎ ‎‎‎‎\mathbb{R}‎^۳‎,‎ a\geq ۰‎ ,‎b> ۰ and \lambda > ۰ is a ‎parameter,‎‎ ‎ ۱