Chen, JianhuaTang, XianhuaLuo, Huxiao2022-04-082022-04-082017-04-05Chen, J., Tang, X., & Luo, H. (2017). Infinitely many solutions for fractional Schrödinger-Poisson systems with sign-changing potential. <i>Electronic Journal of Differential Equations, 2017</i>(97), pp. 1-13.1072-6691https://hdl.handle.net/10877/15629In this article, we prove the existence of multiple solutions for following fractional Schrödinger-Poisson system with sign-changing potential (-∆)su + V(x)u + λφu = ƒ(x, u), x ∈ ℝ3, (-∆)tφ = u2, x ∈ ℝ3, where (-∆)α denotes the fractional Laplacian of order α ∈ (0, 1), and the potential V is allowed to be sign-changing. Under certain assumptions on ƒ, we obtain infinitely many solutions for this system.Text13 pages1 file (.pdf)enAttribution 4.0 InternationalFractional Schrödinger-Poisson systemsSign-changing potentialSymmetric mountain pass theoremInfinitely many solutionsArticle