The Second Eigenvalue of the -Laplacian as Goes to

Enea Parini

International Journal of Differential Equations, 2010, vol. 2010, 1-23

Abstract:

The asymptotic behaviour of the second eigenvalue of the -Laplacian operator as 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 is close enough to 1.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:984671

DOI: 10.1155/2010/984671

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