THE FRACTIONAL SCHRÖDINGER-POISSON SYSTEMS WITH INFINITELY MANY SOLUTIONS

Abstract

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