摘要

In this article, we study the Schrodinger-Poisson system @@@ -Delta u + V(x)u + k(x)phi(x)u =h(1)(x)vertical bar u vertical bar(4) u + mu h(2)(x)u + h(3)(x), in R-3, @@@ -Delta phi(x) = k(x)u(2), in R-3, @@@ where h(1)(x), h(2)(x), h(3)(x) and V(x) are allowed to be sign-changing and it mu > 0 is a parameter. Under some appropriate assumptions on V(x), we obtain the existence of two different solutions for the above system via variational methods.