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...
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Main Author: | |
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Format: | Article |
Language: | English |
Published: |
Wiley
2010-01-01
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Series: | International Journal of Differential Equations |
Online Access: | http://dx.doi.org/10.1155/2010/984671 |
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