Existence of solutions for Schrödinger-Poisson system with asymptotically periodic terms

Da-Bin Wang, Lu-Ping Ma, Wen Guan, Hong-Mei Wu
2018 Journal of Nonlinear Science and its Applications  
In this paper, we consider the following nonlinear Schrödinger-Poisson system where V, K ∈ L ∞ (R 3 ) and f : R 3 × R → R is continuous. We prove that the problem has a nontrivial solution under asymptotically periodic case of V, K, and f at infinity. Moreover, the nonlinear term f does not satisfy any monotone condition.
doi:10.22436/jnsa.011.05.01 fatcat:rngfzqrkejc65odew55fci5p34