Various Half-Eigenvalues of Scalar p-Laplacian with Indefinite Integrable Weights
Joint Authors
Source
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-27, 27 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-08-17
Country of Publication
Egypt
No. of Pages
27
Main Subjects
Abstract EN
Consider the half-eigenvalue problem (ϕp(x′))′+λa(t)ϕp(x+)−λb(t)ϕp(x−)=0 a.e.
t∈[0,1], where 1
We characterize the spectra structure under periodic, antiperiodic, Dirichlet, and Neumann boundary conditions, respectively.
Furthermore, all these half-eigenvalues are continuous in (a,b)∈(ℒγ,wγ)2, where wγ denotes the weak topology in ℒγ space.
The Dirichlet and the Neumann half-eigenvalues are continuously Fréchet differentiable in (a,b)∈(ℒγ,∥⋅∥γ)2, where ∥⋅∥γ is the Lγ norm of ℒγ.
American Psychological Association (APA)
Li, Wei& Yan, Ping. 2009. Various Half-Eigenvalues of Scalar p-Laplacian with Indefinite Integrable Weights. Abstract and Applied Analysis،Vol. 2009, no. 2009, pp.1-27.
https://search.emarefa.net/detail/BIM-988281
Modern Language Association (MLA)
Li, Wei& Yan, Ping. Various Half-Eigenvalues of Scalar p-Laplacian with Indefinite Integrable Weights. Abstract and Applied Analysis No. 2009 (2009), pp.1-27.
https://search.emarefa.net/detail/BIM-988281
American Medical Association (AMA)
Li, Wei& Yan, Ping. Various Half-Eigenvalues of Scalar p-Laplacian with Indefinite Integrable Weights. Abstract and Applied Analysis. 2009. Vol. 2009, no. 2009, pp.1-27.
https://search.emarefa.net/detail/BIM-988281
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-988281