Schrödinger-Poisson system with concave-convex nonlinearities

We consider a class of the Schrödinger-Poisson system with concave-convex nonlinearities. Under some suitable assumptions, we prove the existence of nontrivial solutions and infinitely many negative energy solutions by using the variational method and making accurate analysis on the combined effect of parameters μ and λ. Our results extend that in the related works.