The fractional Schrödinger-Poisson systems with infinitely many solutions
J. Korean Math. Soc.
Published online August 23, 2019
Tiankun Jin and Zhipeng Yang
Daqing Normal University, Yunnan Normal University
Abstract : In this paper, we study the existence of infinity many large energy solutions for the supercubic fractional Schrödinger-Poisson systems. We consider different superlinaer 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 Schrödinger-Poisson systems to the nonlocal fractional setting.
Keywords : fractional Schrödinger-Poisson system, variational method, fountain theorem.
MSC numbers : 35Q40; 35J50; 58E05
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