Existence Result for Fractional Klein-Gordon-Maxwell System with Quasicritical Potential Vanishing at Infinity

Canlin Gan, Ting Xiao, Qiongfen Zhang

Type: Article

Publication Date: 2020-01-01

Citations: 2

DOI: https://doi.org/10.4236/jamp.2020.87101

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.

Locations

Journal of Applied Mathematics and Physics - View - PDF

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