Existence and Multiplicity of Nontrivial Solutions for a Class of Semilinear Fractional Schrödinger Equations. (26th September 2017)

• Record Type: Journal Article
• Authors: Du, Xinsheng; Mao, Anmin
• Other Names: Wu Yong H. Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2017(2017)
• Publication Date: 2017-09-26
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2017/3793872
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : This paper is concerned with the existence of solutions to the following fractional Schrödinger type equations: - ∆ s u + V x u = f x, u, x ∈ R N, where the primitive of the nonlinearity f is of superquadratic growth near infinity in u and the potential V is allowed to be sign-changing. By using variant Fountain theorems, a sufficient condition is obtained for the existence of infinitely many nontrivial high energy solutions.