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.
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