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, Marco
Secondo
;
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.
Inglese
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]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10807/87050
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