The fractional Schrödinger-Poisson systems with infinitely many solutions

J. Korean Math. Soc. 57, no. 2, 489–506

In this paper, we study the existence of infinitely many large energy solutions for the supercubic fractional Schr"{o}dinger-Poisson systems. We consider different superlinear growth assumptions on the nonlinearity, starting from the well-know Ambrosetti-Rabinowitz type condition. We obtain three different existence results in this setting by using the Fountain Theorem, all these results extend some results for semelinear Schr"{o}dinger-Poisson systems to the nonlocal fractional setting.