فهرست نشریات علمی دسترسی آزاد ایران

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}^3} |\nabla u|^2)‎‎\Delta‎ u‎ + ‎\lambda \phi u=m(x){|u|}^ {q-2} u‎+ ‎f(x,u)‎, ‎\qquad x \in ‎\Omega‎,\\‎‎\displaystyle\\‎‎\displaystyle‎ ‎-‎\Delta‎\phi=u^2,~‎~‎\qquad\qquad\qquad‎ ~‎\qquad x \in ‎\Omega‎,‎‎\end{array}\right.‎‎\end{equation*}‎‎where ‎$‎\Omega‎$ ‎is a‎ ‎bounded ‎smooth ‎domain ‎of‎ ‎‎$‎‎\mathbb{R}‎^3‎$,‎ $a\geq 0$‎ ,‎$b> 0$ and $\lambda > 0$ is a ‎parameter,‎‎ ‎$ 1<q<2$ and $f(x,u)$ is linearly bounded in $u$ at infinity‎. ‎Under some suitable‎ ‎assumptions on $m$ and $f$‎,‎ we prove the existence and multiplicity of solutions via variational methods.‎