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., Schrodinger-Poisson systems with a general critical nonlinearity, <<COMMUNICATIONS IN CONTEMPORARY MATHEMATICS>>, 2016; (N/A): N/A-N/A [http://hdl.handle.net/10807/87032]
Schrodinger-Poisson systems with a general 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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