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

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 enoug...

Full description

Saved in:
Bibliographic Details
Main Author: Enea Parini
Format: Article
Language:English
Published: Wiley 2010-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2010/984671
Tags: Add Tag
No Tags, Be the first to tag this record!