The Second Eigenvalue of the p-Laplacian as p Goes to 1
Author
Source
International Journal of Differential Equations
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-23, 23 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-12-15
Country of Publication
Egypt
No. of Pages
23
Main Subjects
Abstract EN
The asymptotic behaviour of the second eigenvalue of the p-Laplacian operator as p goes to 1 is investigated.
The limit setting depends only on the geometry of the domain.
In the particular case of a planar disc, it is possible to show that the second eigenfunctions are nonradial if p is close enough to 1.
American Psychological Association (APA)
Parini, Enea. 2009. The Second Eigenvalue of the p-Laplacian as p Goes to 1. International Journal of Differential Equations،Vol. 2010, no. 2010, pp.1-23.
https://search.emarefa.net/detail/BIM-513620
Modern Language Association (MLA)
Parini, Enea. The Second Eigenvalue of the p-Laplacian as p Goes to 1. International Journal of Differential Equations No. 2010 (2010), pp.1-23.
https://search.emarefa.net/detail/BIM-513620
American Medical Association (AMA)
Parini, Enea. The Second Eigenvalue of the p-Laplacian as p Goes to 1. International Journal of Differential Equations. 2009. Vol. 2010, no. 2010, pp.1-23.
https://search.emarefa.net/detail/BIM-513620
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-513620