Eigenvalues for a Neumann Boundary Problem Involving the p ( x ) -Laplacian
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-03-11
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
We study the existence of weak solutions to the following Neumann problem involving the p ( x ) -Laplacian operator: - Δ p ( x ) u + e ( x ) | u | p ( x ) - 2 u = λ a ( x ) f ( u ) , in Ω , ∂ u / ∂ ν = 0 , on ∂ Ω .
Under some appropriate conditions on the functions p , e , a , and f , we prove that there exists λ ¯ > 0 such that any λ ∈ ( 0 , λ ¯ ) is an eigenvalue of the above problem.
Our analysis mainly relies on variational arguments based on Ekeland’s variational principle.
American Psychological Association (APA)
Miao, Qing. 2015. Eigenvalues for a Neumann Boundary Problem Involving the p ( x ) -Laplacian. Advances in Mathematical Physics،Vol. 2015, no. 2015, pp.1-5.
https://search.emarefa.net/detail/BIM-1053006
Modern Language Association (MLA)
Miao, Qing. Eigenvalues for a Neumann Boundary Problem Involving the p ( x ) -Laplacian. Advances in Mathematical Physics No. 2015 (2015), pp.1-5.
https://search.emarefa.net/detail/BIM-1053006
American Medical Association (AMA)
Miao, Qing. Eigenvalues for a Neumann Boundary Problem Involving the p ( x ) -Laplacian. Advances in Mathematical Physics. 2015. Vol. 2015, no. 2015, pp.1-5.
https://search.emarefa.net/detail/BIM-1053006
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1053006