Ground state solutions for the fractional Schrödinger-Poisson system with critical growth

Qiu Ying Peng, Zeng-Qi Ou and Ying Lv

Chaos, Solitons & Fractals, 2021, vol. 144, issue C

Abstract: We are interested in the existence of a ground state solution for the fractional Schrödinger-Poisson system with critical growth{(−Δ)su+ϕu=g(u)+|u|2s*−2u,inR3,(−Δ)tϕ=u2,inR3,where 2s*=63−2s,s,t∈(0,1) and 2s+2t>3. Under some mild assumptions on g(u), using the compactness lemma of Strauss, a positive ground state solution is obtained by approximating the Pohozaev-Nehari type ground state solutions of the subcritical problems.

Keywords: Fractional Schrödinger-Poisson system; Pohozaev-Nehari manifold; Ground state solution (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:144:y:2021:i:c:s0960077921000035

DOI: 10.1016/j.chaos.2021.110650

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