Inserted: 18 may 2016
Last Updated: 28 oct 2016
Journal: Discrete Continuous Dynamical Systems A
The paper deals with existence and multiplicity of solutions of the fractional Schrodinger-Kirchhoff equation involving an external magnetic potential. In the super- and sub-linear cases, the existence of least energy solutions for the above problem is obtained by the mountain pass theorem, combined with the Nehari method, and by the direct methods respectively. In the superlinear-sublinear case, the existence of infinitely many solutions is investigated by the symmetric mountain pass theorem.