摘要
The following fractional Klein-Gordon-Maxwell system is studied<br /> <p> <img src="Edit_d0190fe4-48ad-4118-8c6c-c585ba971681.bmp" alt="" /> <br /> (-Δ)<sup><em>p</em></sup> stands for the fractional Laplacian, <em>ω</em> > 0 is a constant, <em>V</em> is vanishing potential and <em>K</em> is a smooth function. Under some suitable conditions on <em>K</em> and <em>f</em>, 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. </p>
The following fractional Klein-Gordon-Maxwell system is studied<br /> <p> <img src="Edit_d0190fe4-48ad-4118-8c6c-c585ba971681.bmp" alt="" /> <br /> (-Δ)<sup><em>p</em></sup> stands for the fractional Laplacian, <em>ω</em> > 0 is a constant, <em>V</em> is vanishing potential and <em>K</em> is a smooth function. Under some suitable conditions on <em>K</em> and <em>f</em>, 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. </p>
