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arxiv: 1503.08765 · v1 · pith:547CDX3Ynew · submitted 2015-03-30 · 🧮 math.AP

Fractional Schr\"odinger-Poisson systems with a general subcritical or critical nonlinearity

classification 🧮 math.AP
keywords criticalfractionalgeneralnonlinearityschrsolutionssubcriticalambrosetti-rabinowitz
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We consider a fractional Schr\"{o}dinger-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 asymptotics of solutions for a vanishing parameter.

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