Existence and Multiplicity of Solutions for a Class of Anisotropic Double Phase Problems
Joint Authors
Yang, Jie
Liu, Senli
Chen, Haibo
Source
Advances in Mathematical Physics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-03-23
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We consider the following double phase problem with variable exponents: −div∇upx−2∇u+ax∇uqx−2∇u=λfx,u in Ω,u=0, on ∂Ω.
By using the mountain pass theorem, we get the existence results of weak solutions for the aforementioned problem under some assumptions.
Moreover, infinitely many pairs of solutions are provided by applying the Fountain Theorem, Dual Fountain Theorem, and Krasnoselskii’s genus theory.
American Psychological Association (APA)
Yang, Jie& Chen, Haibo& Liu, Senli. 2020. Existence and Multiplicity of Solutions for a Class of Anisotropic Double Phase Problems. Advances in Mathematical Physics،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1127518
Modern Language Association (MLA)
Yang, Jie…[et al.]. Existence and Multiplicity of Solutions for a Class of Anisotropic Double Phase Problems. Advances in Mathematical Physics No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1127518
American Medical Association (AMA)
Yang, Jie& Chen, Haibo& Liu, Senli. Existence and Multiplicity of Solutions for a Class of Anisotropic Double Phase Problems. Advances in Mathematical Physics. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1127518
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1127518