TITLE:
Existence Result for Fractional Klein-Gordon-Maxwell System with Quasicritical Potential Vanishing at Infinity
AUTHORS:
Canlin Gan, Ting Xiao, Qiongfen Zhang
KEYWORDS:
Vanishing Potential, Fractional Klein-Gordon-Maxwell System, Variational Methods, Ground State Solution
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.8 No.7,
July
22,
2020
ABSTRACT: The following fractional Klein-Gordon-Maxwell system is studied
(-Δ)p stands for the fractional Laplacian, ω > 0 is a constant, V is vanishing potential and K is a smooth function. Under some suitable conditions on K and f, we obtain a Palais-Smale sequence by using a weaker Ambrosetti-Rabinowitz condition and prove the ground state solution for this system by employing variational methods. In particular, this kind of problem is a vast range of applications and challenges.