We consider a fractional Schrodinger-Poisson system with a general nonlinearity in 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 asymptotic behavior of solutions for a vanishing parameter.

Fractional Schrodinger-Poisson systems with a general subcritical or critical nonlinearity

SQUASSINA, Marco
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Abstract

We consider a fractional Schrodinger-Poisson system with a general nonlinearity in 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 asymptotic behavior of solutions for a vanishing parameter.
Schrodinger-Poisson systems, variational methods, critical growth
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11562/926975
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