title: Existence and asymptotic behavior of solutions for nonlinear Schrödinger-Poisson systems with steep potential well.
abstract: In this paper, we are concerned with a class of Schrödinger-Poisson systems with the asymptotically linear or asymptotically 3-linear nonlinearity. Under some suitable assumptions onV,K,a, andf, we prove the existence, nonexistence, and asymptotic behavior of solutions via variational methods. In particular, the potentialVis allowed to be sign-changing for the asymptotically linear case.
authors.affiliation: School of Mathematical Sciences, Nanjing Normal University , Nanjing 210023, People's Republic of China.
authors.forename: Miao
authors.initials: M
authors.lastname: Du
authors.affiliation: School of Mathematical Sciences, Nanjing Normal University , Nanjing 210023, People's Republic of China.
authors.forename: Lixin
authors.initials: L
authors.lastname: Tian
authors.affiliation: Faculty of Science, Jiangsu University , Zhenjiang 212013, People's Republic of China.
authors.forename: Jun
authors.initials: J
authors.lastname: Wang
authors.affiliation: Department of Mathematics, Southeast University , Nanjing 210096, People's Republic of China.
authors.forename: Fubao
authors.initials: F
authors.lastname: Zhang