Least energy sign-changing solutions for Schrödinger-Poisson system with critical growth

In this paper, we investigate the existence and asymptotic behavior of least energy sign-changing solutions for the following Schrödinger-Poisson system

\begin{document}$ \begin{equation*} \begin{cases} -\Delta u+V(x)u+\lambda\phi(x)u = |u|^4u+ f(u),\ \ \ &\ x \in \mathbb{R}^{3},\\ -\Delta \phi = u^2, \ \ \ &\ x \in \mathbb{R}^{3}, \end{cases} \end{equation*} $\end{document}

where \begin{document}$ \lambda>0 $\end{document} is a parameter. Under some suitable conditions on \begin{document}$ f $\end{document} and \begin{document}$ V $\end{document}, we get a least energy sign-changing solution \begin{document}$ u_\lambda $\end{document} via variational method and its energy is strictly larger than twice that of least energy solutions. Moreover, the asymptotic behavior of \begin{document}$ u_\lambda $\end{document} as \begin{document}$ \lambda\rightarrow 0^+ $\end{document} is also analyzed.