Su, YuChen, HaiboLiu, SenliFang, Xianwen2021-08-272021-08-272020-01-06Su, Y., Chen, H., Liu, S., & Fang, X. (2020). Fractional Schrödinger-Poisson systems with weighted Hardy potential and critical exponent. <i>Electronic Journal of Differential Equations, 2020</i>(01), pp. 1-17.1072-6691https://hdl.handle.net/10877/14481In this article we consider the fractional Schrödinger-Poisson system (-Δ)su - μ Φ(x/|x|)/|x|2s u + λφu = |u|2*s-2u, in ℝ3, (-Δ)tφ = u2, in ℝ3, where s ∈ (0, 3/4), t ∈ (0, 1), 2t + 4s = 3, λ > 0 and 2*s = 6/(3-2s) is the Sobolev critical exponent. By using perturbation method, we establish the existence of a solution for λ small enough.Text17 pages1 file (.pdf)enAttribution 4.0 InternationalFractional Schrödinger-Poisson systemWeighted Hardy potentialCritical exponentArticle