Abstract
The aim of this work is to study the following system:
(-Delta)(s)u + alpha phi u = beta u(-gamma) + g(u) + h(x) in R-3
u > 0 in R-3
(-Delta)(s)phi = u(2) in R-3.
under the Berestycki-Lions type condition. Here alpha, beta > 0, 0 < s, gamma < 1, g is an element of C(R, R), h is an element of L-2(R-3). We will prove the existence of at least two solutions using the Ekeland's variational principle, Mountain pass theorem and a Pohozaev type identity.