Fractional Schr\"odinger-Poisson systems with a general subcritical or critical nonlinearity

Jianjun Zhang; João Marcos do Ó; Marco Squassina

Fractional Schr\"odinger-Poisson systems with a general subcritical or critical nonlinearity

Analysis of PDEs 2015-03-31 v1

Authors: Jianjun Zhang , João Marcos do Ó , Marco Squassina

Abstract

We consider a fractional Schr\"{o}dinger-Poisson system with a general nonlinearity in subcritical and critical case. The Ambrosetti-Rabinowitz condition is not required. By using a perturbation approach, we prove the existence of positive solutions. Moreover, we study the asymptotics of solutions for a vanishing parameter.

Keywords

fractional Schrödinger-Poisson systems subcritical nonlinearity critical nonlinearity positive solutions perturbation approach asymptotics Ambrosetti-Rabinowitz condition

Cite

@article{arxiv.1503.08765,
  title  = {Fractional Schr\"odinger-Poisson systems with a general subcritical or critical nonlinearity},
  author = {Jianjun Zhang and João Marcos do Ó and Marco Squassina},
  journal= {arXiv preprint arXiv:1503.08765},
  year   = {2015}
}

Comments

15 pages

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