Qu, SiqiHe, Xiaoming2023-04-182023-04-182022-07-05Qu, S., & He, X. (2022). Multiplicity of high energy solutions for fractional Schrodinger-Poisson systems with critical frequency. <i>Electronic Journal of Differential Equations, 2022</i>(47), pp. 1-21.1072-6691https://hdl.handle.net/10877/16606In this article we study the fractional Schrodinger-Poisson system ɛ2s (-Δ)s u + V(x)u = ϕ|u|2*s - 3u, x ∈ ℝ3, (-Δ)s ϕ = |u|2*s-1, x ∈ ℝ3, where s ∈ (1/2, 1), ɛ > 0 is a parameter, 2*s = 6/(3 - 2s) is the critical Sobolev exponent, V ∈ L3/2s (ℝ3) is a nonnegative function which may be zero in some region of ℝ3. By means of variational methods, we present the number of high energy bound states with the topology of the zero set of V for small ɛ.Text21 pages1 file (.pdf)enAttribution 4.0 InternationalFractional Schrödinger-Poisson systemHigh energy solutionCritical Sobolev exponentArticle