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; 19 (4): N/A-N/A. [doi:10.1142/S0219199716500280] [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 parameterFile in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.