Existence of positive solutions to the Schrödinger–Poisson system without compactness conditions

Abstract In this paper, we discuss the existence of a positive radial solution to a generalized Schrodinger–Poisson system without compactness conditions. By the method of the combination of a cut-off function, a monotonicity trick and a Pohozaev type identity, we obtain the boundedness of a Palais–Smale sequence.

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