Existence and Multiplicity of Nontrivial Solutions for a Class of Semilinear Fractional Schrödinger Equations
Joint Authors
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-09-26
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
This paper is concerned with the existence of solutions to the following fractional Schrödinger type equations: -∆su+Vxu=fx,u, x∈RN, 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.
American Psychological Association (APA)
Du, Xinsheng& Mao, Anmin. 2017. Existence and Multiplicity of Nontrivial Solutions for a Class of Semilinear Fractional Schrödinger Equations. Journal of Function Spaces،Vol. 2017, no. 2017, pp.1-7.
https://search.emarefa.net/detail/BIM-1176409
Modern Language Association (MLA)
Du, Xinsheng& Mao, Anmin. Existence and Multiplicity of Nontrivial Solutions for a Class of Semilinear Fractional Schrödinger Equations. Journal of Function Spaces No. 2017 (2017), pp.1-7.
https://search.emarefa.net/detail/BIM-1176409
American Medical Association (AMA)
Du, Xinsheng& Mao, Anmin. Existence and Multiplicity of Nontrivial Solutions for a Class of Semilinear Fractional Schrödinger Equations. Journal of Function Spaces. 2017. Vol. 2017, no. 2017, pp.1-7.
https://search.emarefa.net/detail/BIM-1176409
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1176409