Calculus of Variations and Geometric Measure Theory
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X. Mingqi - P. Pucci - M. Squassina - B. Zhang

Nonlocal Schrodinger-Kirchhoff equations with external magnetic field

created by squassina on 18 May 2016
modified on 28 Oct 2016


Accepted Paper

Inserted: 18 may 2016
Last Updated: 28 oct 2016

Journal: Discrete Continuous Dynamical Systems A
Pages: 19
Year: 2016


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.


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