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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| Format: | Article |
| Language: | English |
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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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| _version_ | 1832562093952335872 |
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| author | Enea Parini |
| author_facet | Enea Parini |
| author_sort | Enea Parini |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-0072bf85ae854ee8a1a156894ab64218 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-0072bf85ae854ee8a1a156894ab642182025-02-03T01:23:22ZengWileyInternational Journal of Differential Equations1687-96431687-96512010-01-01201010.1155/2010/984671984671The Second Eigenvalue of the p-Laplacian as p Goes to 1Enea Parini0Mathematisches Institut, Universität zu Köln, Weyertal 86-90, D 50931 Köln , GermanyThe 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.http://dx.doi.org/10.1155/2010/984671 |
| spellingShingle | Enea Parini The Second Eigenvalue of the p-Laplacian as p Goes to 1 International Journal of Differential Equations |
| title | The Second Eigenvalue of the p-Laplacian as p Goes to 1 |
| title_full | The Second Eigenvalue of the p-Laplacian as p Goes to 1 |
| title_fullStr | The Second Eigenvalue of the p-Laplacian as p Goes to 1 |
| title_full_unstemmed | The Second Eigenvalue of the p-Laplacian as p Goes to 1 |
| title_short | The Second Eigenvalue of the p-Laplacian as p Goes to 1 |
| title_sort | second eigenvalue of the p laplacian as p goes to 1 |
| url | http://dx.doi.org/10.1155/2010/984671 |
| work_keys_str_mv | AT eneaparini thesecondeigenvalueoftheplaplacianaspgoesto1 AT eneaparini secondeigenvalueoftheplaplacianaspgoesto1 |