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

Abstract

We consider a fractional Schrödinger-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.

arXiv comment15 pages

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Cited by in corpus (4)

• Ground state solutions for the nonlinear fractional Schrodinger-Poisson system
• Fractional Schrodinger-Poisson Equations With General Nonlinearities
• Ground states of nonlinear fractional Schrödinger equation involving critical growth
• Singularly perturbed fractional Schrödinger equation involving a general critical nonlinearity