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 JAMP  Vol.8 No.7 , July 2020
Existence Result for Fractional Klein-Gordon-Maxwell System with Quasicritical Potential Vanishing at Infinity
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.

Cite this paper: Gan, C. , Xiao, T. and Zhang, Q. (2020) Existence Result for Fractional Klein-Gordon-Maxwell System with Quasicritical Potential Vanishing at Infinity. Journal of Applied Mathematics and Physics, 8, 1318-1327. doi: 10.4236/jamp.2020.87101.
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