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arXiv · 1503.08765

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

Jianjun Zhang·João Marcos do Ó·Marco Squassina
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Abstract

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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Jianjun Zhang, João Marcos do Ó, Marco Squassina. 2015-03-30. Fractional Schr\"odinger-Poisson systems with a general subcritical or critical nonlinearity. https://arxiv.org/abs/1503.08765

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