Abstract
This paper deals with the following nonlinear fractional Kirchhoff–Schrödinger–Poisson system (a+b∫R3∫R3|u(x)−u(y)|2|x−y|3+2sdxdy)(−Δ)su+V(x)u+ϕu=|u|2s∗−2u+λf(u),x∈R3,(−Δ)tϕ=u2,x∈R3, where s∈(34,1),t∈(0,1),λ,a,b>0. Under some conditions on f, we use constraint variational method to prove the existence and energy characteristics of least energy sign-changing solution to this problem.
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