We are interested in the existence of infinitely many positive solutions of the Schrödinger–Poisson system
View the MathML source{−Δu+u+V(|x|)ϕu=|u|p−1u,x∈R3,−Δϕ=V(|x|)u2,x∈R3,
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where V(|x|)V(|x|) is a positive bounded function, 1
0a>0, View the MathML sourcem>32, θ>0θ>0. The solutions obtained are non-radial.