English

An existence result for singular fractional Kirchhoff-Schr\"{o}dinger-Poisson system

Analysis of PDEs 2021-08-26 v2

Abstract

In this paper, we study the existence of infinitely many weak solutions to a fractional Kirchhoff-Schr\"{o}dinger-Poisson system involving the weak singularity, i.e. when 0<γ<10<\gamma<1. Further, we obtain the existence of a solution with the strong singularity, i.e. when γ>1\gamma>1. We employ variational techniques to prove the existence and multiplicity results. Moreover, a LL^{\infty} estimate is obtained by using the Moser iteration method.

Keywords

Cite

@article{arxiv.1909.13350,
  title  = {An existence result for singular fractional Kirchhoff-Schr\"{o}dinger-Poisson system},
  author = {Sekhar Ghosh},
  journal= {arXiv preprint arXiv:1909.13350},
  year   = {2021}
}

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28 pages