Existence of infinitely solutions for a modified nonlinear Schrodinger equation via dual approach

Date

2018-07-31

Authors

Zhang, Xinguang
Liu, Lishan
Wu, Yonghong
Cui, Yujun

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

In 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.

Description

Keywords

Modified nonlinear Schrödinger equation, Dual approach, Critical point theorems, Multiplicity, Variational methods

Citation

Zhang, 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.

Rights

Attribution 4.0 International

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