TY - JOUR
ID - 4405
TI - On a class of nonlinear fractional Schrödinger-Poisson systems
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN -
AU - Soluki, M.
AU - Rasouli, S.H.
AU - Afrouzi, G.A.
AD - aDepartment of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
AD - Department of Mathematics, Faculty of Basic Sciences, Babol (Noushirvani) University of Technology Babol, Iran
AD - Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
Y1 - 2019
PY - 2019
VL - 10
IS - Special Issue ( Nonlinear Analysis in Engineering and Sciences)
SP - 123
EP - 132
KW - Fractional Schrödinger-Poisson systems
KW - Non-trivial solutions
KW - Variational methods
DO - 10.22075/ijnaa.2019.4405
N2 - 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.
UR - https://ijnaa.semnan.ac.ir/article_4405.html
L1 - https://ijnaa.semnan.ac.ir/article_4405_0d5ac99c730ccb355e764c67c563de52.pdf
ER -