Variational Approach for the Variable-Order Fractional Magnetic Schrödinger Equation with Variable Growth and Steep Potential in ℝN∗
Joint Authors
Wang, Yanning
Zhou, Jianwen
Zhou, Bianxiang
Tian, Liping
Source
Advances in Mathematical Physics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-10-28
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
In this paper, we show the existence of solutions for an indefinite fractional Schrödinger equation driven by the variable-order fractional magnetic Laplace operator involving variable exponents and steep potential.
By using the decomposition of the Nehari manifold and variational method, we obtain the existence results of nontrivial solutions to the equation under suitable conditions.
American Psychological Association (APA)
Zhou, Jianwen& Zhou, Bianxiang& Tian, Liping& Wang, Yanning. 2020. Variational Approach for the Variable-Order Fractional Magnetic Schrödinger Equation with Variable Growth and Steep Potential in ℝN∗. Advances in Mathematical Physics،Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1127290
Modern Language Association (MLA)
Zhou, Jianwen…[et al.]. Variational Approach for the Variable-Order Fractional Magnetic Schrödinger Equation with Variable Growth and Steep Potential in ℝN∗. Advances in Mathematical Physics No. 2020 (2020), pp.1-15.
https://search.emarefa.net/detail/BIM-1127290
American Medical Association (AMA)
Zhou, Jianwen& Zhou, Bianxiang& Tian, Liping& Wang, Yanning. Variational Approach for the Variable-Order Fractional Magnetic Schrödinger Equation with Variable Growth and Steep Potential in ℝN∗. Advances in Mathematical Physics. 2020. Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1127290
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1127290
