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]
Autori: | |
Titolo: | Fractional Schrodinger-Poisson systems with a general subcritical or critical nonlinearity |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1515/ans-2015-5024 |
Data di pubblicazione: | 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. |
Lingua: | Inglese |
Rivista: | |
Citazione: | 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] |
Appare nelle tipologie: | Articolo in rivista, Nota a sentenza |
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