Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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THE FRACTIONAL SCHRÖDINGER-POISSON SYSTEMS WITH INFINITELY MANY SOLUTIONS

  • Jin, Tiankun (College of Teacher Education Daqing Normal University) ;
  • Yang, Zhipeng (Department of Mathematics Yunnan Normal University)
  • Received : 2019.02.20
  • Accepted : 2019.07.25
  • Published : 2020.03.01
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Abstract

In this paper, we study the existence of infinitely many large energy solutions for the supercubic fractional Schrödinger-Poisson systems. We consider different superlinear growth assumptions on the non-linearity, 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.

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References

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