4.5 Article

Fractional Schrodinger-Poisson Systems with a General Subcritical or Critical Nonlinearity

期刊

ADVANCED NONLINEAR STUDIES
卷 16, 期 1, 页码 15-30

出版社

WALTER DE GRUYTER GMBH
DOI: 10.1515/ans-2015-5024

关键词

Schrodinger-Poisson Systems; Variational Methods; Critical Growth

资金

  1. INCTmat/MCT/Brazil
  2. CAPES/Brazil
  3. CPSF [2013M530868]
  4. CNPq

向作者/读者索取更多资源

We consider a fractional Schrodinger-Poisson system with a general nonlinearity in the 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.

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