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摘要
In this paper, we consider the following Schrodinger-Poisson system: @@@ {-Delta u + u + lambda phi u = mu f(u) + vertical bar u vertical bar(p-2)u, in Omega, @@@ -Delta phi = u(2), in Omega, @@@ phi - u - 0, on partial derivative Omega, @@@ where Omega is a smooth and bounded domain in R-3, p is an element of(1, 6], lambda, mu 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.
