Multiple positive solutions for the Schrödinger-Poisson equation with critical growth

<p style='text-indent:20px;'>In this paper, we consider the following Schrödinger-Poisson equation</p><p style='text-indent:20px;'><disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ \left\{\begin{aligned} &-\triangle u + \phi = u^{5}+\lambda g(u), &\hbox{in}\ \ \Omega, \\\ & -\triangle u^{2}, \hbox{in}\ u, 0, \hbox{on}\ \partial\Omega.\end{aligned}\right. $\end{document} </tex-math></disp-formula></p><p style='text-indent:20px;'>where <inline-formula><tex-math id="M1">\begin{document}$ \Omega $\end{document}</tex-math></inline-formula> is a bounded smooth domain in id="M2">\begin{document}$ \mathbb{R}^{3} $\end{document}</tex-math></inline-formula>, id="M3">\begin{document}$ \lambda>0 and nonlinear growth of id="M4">\begin{document}$ u^{5} reaches Sobolev critical exponent three spatial dimensions. With aid variational methods concentration compactness principle, prove problem admits at least two positive solutions one ground state solution.</p>