The Second Eigenvalue of the p-Laplacian as p Goes to 1

Author

Parini, Enea

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

Mathematics

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