Multiplicity Results for Variable-Order Nonlinear Fractional Magnetic Schrödinger Equation with Variable Growth
Joint Authors
Wang, Yanning
Zhou, Jianwen
Zhou, Bianxiang
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-07-13
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
In this paper, we prove the multiplicity of nontrivial solutions for a class of fractional-order elliptic equation with magnetic field.
Under appropriate assumptions, firstly, we prove that the system has at least two different solutions by applying the mountain pass theorem and Ekeland’s variational principle.
Secondly, we prove that these two solutions converge to the two solutions of the limit problem.
Finally, we prove the existence of infinitely many solutions for the system and its limit problems, respectively.
American Psychological Association (APA)
Zhou, Jianwen& Zhou, Bianxiang& Wang, Yanning. 2020. Multiplicity Results for Variable-Order Nonlinear Fractional Magnetic Schrödinger Equation with Variable Growth. Journal of Function Spaces،Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1185808
Modern Language Association (MLA)
Zhou, Jianwen…[et al.]. Multiplicity Results for Variable-Order Nonlinear Fractional Magnetic Schrödinger Equation with Variable Growth. Journal of Function Spaces No. 2020 (2020), pp.1-15.
https://search.emarefa.net/detail/BIM-1185808
American Medical Association (AMA)
Zhou, Jianwen& Zhou, Bianxiang& Wang, Yanning. Multiplicity Results for Variable-Order Nonlinear Fractional Magnetic Schrödinger Equation with Variable Growth. Journal of Function Spaces. 2020. Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1185808
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1185808