%0 Journal Article
%T On a class of nonlinear fractional Schrödinger-Poisson systems
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Soluki, M.
%A Rasouli, S.H.
%A Afrouzi, G.A.
%D 2019
%\ 12/01/2019
%V 10
%N Special Issue ( Nonlinear Analysis in Engineering and Sciences)
%P 123-132
%! On a class of nonlinear fractional Schrödinger-Poisson systems
%K Fractional Schrödinger-Poisson systems
%K Non-trivial solutions
%K Variational methods
%R 10.22075/ijnaa.2019.4405
%X In this paper, we are concerned with the following fractional Schrödinger-Poisson system: (−∆s)u + V (x)u + φu = m(x)|u|q−2|u|+ f(x,u), x ∈ Ω, (−∆t)φ = u2, x ∈ Ω, u = φ = 0, x ∈ ∂Ω, where s,t ∈ (0,1], 2t + 4s > 3, 1 < q < 2 and Ω is a bounded smooth domain of R3, and f(x,u) is linearly bounded in u at infinity. Under some assumptions on m, V and f we obtain the existence of non-trivial solutions with the help of the variational methods.
%U https://ijnaa.semnan.ac.ir/article_4405_0d5ac99c730ccb355e764c67c563de52.pdf