Hou, Gang-LingGe, BinLu, Jian-Fang2022-02-022022-02-022018-04-24Hou, G. L., Ge, B., & Lu, J. F. (2018). Infinitely many solutions for sublinear fractional Schrodinger-type equations with general potentials. <i>Electronic Journal of Differential Equations, 2018</i>(97), pp. 1-13.1072-6691https://hdl.handle.net/10877/15264This article concerns the fractional Schrödinger type equations (-∆)αu + V(x)u = ƒ(x, u) in ℝN, where N ≥ 2, α ∈ (0, 1), (-∆)α stands for the fractional Laplacian, V is a positive continuous potential, ƒ ∈ C(ℝN x ℝ, ℝ). We establish criteria that guarantee the existence of infinitely many solutions by using the genus properties in critical point theory.Text13 pages1 file (.pdf)enAttribution 4.0 InternationalFractional LaplacianVariational methodSublinearGenusArticle