Zhang, XinguangLiu, LishanWu, YonghongCui, Yujun2022-02-222022-02-222018-07-31Zhang, X., Liu, L., Wu, Y., & Cui, Y. (2018). Existence of infinitely solutions for a modified nonlinear Schrodinger equation via dual approach. <i>Electronic Journal of Differential Equations, 2018</i>(147), pp. 1-15.1072-6691https://hdl.handle.net/10877/15396In this article, we focus on the existence of infinitely many weak solutions for the modified nonlinear Schrödinger equation -∆u + V(x)u - [∆(1 + u2)α/2] αu/2(1 + u2)2-α/2 = ƒ(x, u), in ℝN, where 1 ≤ α < 2, ƒ ∈ C(ℝN x ℝ, ℝ). By using a symmetric mountain pass theorem and dual approach, we prove that the above equation has infinitely many high energy solutions.Text15 pages1 file (.pdf)enAttribution 4.0 InternationalModified nonlinear Schrödinger equationDual approachCritical point theoremsMultiplicityVariational methodsArticle