Ground state solutions for a class of nonlinear fractional Schrödinger–Poisson systems with super-quadratic nonlinearity

Zu Gao, Xianhua Tang and Sitong Chen

Chaos, Solitons & Fractals, 2017, vol. 105, issue C, 189-194

Abstract: We consider the existence of ground state solutions for a class of nonlinear fractional Schrödinger-Poisson systems of the form {(−Δ)su+u+ϕu=f(u),inR3,(−Δ)tϕ=u2,inR3,where 03. By adopting a direct approach and the Pohozaev identity, we prove that this system possesses ground state solutions with a mild assumption on f with lim|u|→∞∫0uf(t)dt|u|3=∞.

Keywords: Fractional Schrödinger-Poisson system; ground state; Pohozaev identity; Super-quadratic nonlinearity (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:105:y:2017:i:c:p:189-194

DOI: 10.1016/j.chaos.2017.10.034

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