Abstract

In this paper, we consider the following Schrodinger-Poisson system: 8 < : −△u + u + ��u = µf(u) + |u|p−2u, in , −△� = u2, in , � = u = 0, on @, where is a smooth and bounded domain in R 3 , p ∈ (1,6), �,µ are two parameters and f : R → R is a continuous function. Using some critical point theorems and truncation technique, we obtain three multiplicity results for such a problem with subcritical or critical growth.

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