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.
Do'o, J. M., Squassina, M., Zhang, J., Fractional Schrodinger-Poisson systems with a general subcritical or critical nonlinearity, <<ADVANCED NONLINEAR STUDIES>>, 2016; 16 (N/A): 15-30. [doi:10.1515/ans-2015-5024] [http://hdl.handle.net/10807/87050]
Fractional Schrodinger-Poisson systems with a general subcritical or critical nonlinearity
Squassina, MarcoSecondo
;
2016
Abstract
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.
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