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In this paper we investigate the existence of positive solutions to the following Schrödinger-Poisson-Slater system 8 < : −∆u + u + λφu = |u| p−2 u in Ω −∆φ = u 2 in Ω u = φ = 0 on ∂Ω where Ω is a bounded domain in R 3 , λ is a fixed positive parameter and p < 2 * = 2N N−2. We prove that if p is " near " the critical Sobolev exponent 2 * , then the number(More)
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