Chen, Caisheng2023-06-202023-06-202016-03-30Chen, C. (2016). Infinitely many solutions for fractional Schrödinger equations in ℝN. Electronic Journal of Differential Equations, 2016(88), pp. 1-15.1072-6691https://hdl.handle.net/10877/16960Using variational methods we prove the existence of infinitely many solutions to the fractional Schrödinger equation (-∆)s u + V(x)u = ƒ(x, u), x ∈ ℝN, where N ≥ 2, s ∈ (0, 1). (-∆)s stands for the fractional Laplacian. The potential function satisfies V(x) ≥ V0 > 0. The nonlinearity ƒ(x, u) is superlinear, has subcritical growth in u, and may or may not satisfy the (AR) condition.Text15 pages1 file (.pdf)enAttribution 4.0 InternationalArticle