Title of article :
Existence of non-trivial solutions for fractional Schrödinger-Poisson systems with subcritical growth
Author/Authors :
Keyhanfar, A Department of Mathematics - Faculty of Mathematical Sciences - University of Mazandaran, Babolsar, Iran , Rasouli, S.H Department of Mathematics - Faculty of Basisc Sciences - Babol(Noshirvani) University of Technology Babol, Iran , Afrouzi, G.A Department of Mathematics - Faculty of Mathematical Sciences - University of Mazandaran, Babolsar, Iran
Abstract :
In this paper, we are concerned with the following fractional Schrödinger-Poisson system: (−∆s)u + u + λφu = µf(u) +|u|p−2|u|, x ∈R3 (−∆t)φ = u2, x ∈R3 where λ,µ are two parameters, s,t ∈ (0,1] ,2t + 4s > 3 ,1 < p ≤ 2∗ s and f : R → R is continuous function. Using some critical point theorems and truncation technique, we obtain the existence and multiplicity of non-trivial solutions with the help of the variational methods.
Keywords :
Fractional Schrödinger-Poisson systems , Sublinear nonlinearity , Variational methods
