摘要
We study the existence of solutions for the SchrOdinger-Poisson system {-△u＋u＋k（x）φu=a（x）｜u｜p-1u,in R3,-△φ=k（x）u2, in R3,where 3 G p 〈 5, a （x） is a sign-changing function such that both the supports of a＋ and a- may have infinite measure. We show that the problem has at least one nontrivial solution under some assumptions.
