Standing waves for a class of Schrödinger-Poisson equations in ${\mathbb{R}}^3$ involving critical Sobolev exponents

Yi He, Gongbao Li

We are concerned with the following Schrödinger-Poisson equation with critical nonlinearity: \[\left\{\begin{gathered} - {\varepsilon ^2}Δu + V(x)u + ψu = λ|u{|^{p - 2}}u + |u{|^4}…