Fractional Schrödinger–Poisson Systems with a General Subcritical or Critical Nonlinearity

We consider a fractional Schrödinger–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 f...

Full description

Saved in:
Bibliographic Details
Published inAdvanced nonlinear studies Vol. 16; no. 1; pp. 15 - 30
Main Authors Zhang, Jianjun, do Ó, João Marcos, Squassina, Marco
Format Journal Article
LanguageEnglish
Published De Gruyter 01.02.2016
Subjects
35B25
35B33
35J61
Critical Growth
Schrödinger–Poisson Systems
Variational Methods
Online AccessGet full text
ISSN1536-1365
2169-0375
DOI10.1515/ans-2015-5024

Cover

More Information
Summary:We consider a fractional Schrödinger–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.
ISSN:1536-1365
2169-0375
DOI:10.1515/ans-2015-5024