Sign-changing solutions for a fractional Schrödinger–Poisson system

• DOI: 10.1080/00036811.2021.1991916
• Publication Date: 2021-10-20T19:31:15Z
• Authors: Senli Liu; Jie Yang; Yu Su; Haibo Chen
• Keywords: Multiplicity (mathematics); Schrödinger's cat

In this paper, we deal with the existence and multiplicity of radial sign-changing solutions for fractional Schrödinger–Poisson system: (℘) (−Δ)su+u+ϕu=f(u),(−Δ)αϕ=u2,in R3(℘) where s∈(34,1), α∈(0,1) f is a continuous function. Based on perturbation approach method invariant sets descending flow, obtain system (P). addition, by applying constrained variational incorporated Brouwer degree theory, prove that (P) possesses at least one ground state solution. Furthermore, show energy exceed twice than energy, when odd, admits infinitely many nontrivial solutions.