Multiple solutions to a nonlinear elliptic equation involving Paneitz type operators
This paper deals with an elliptic equation involving Paneitz type operators on compact Riemannian manifolds with concave-convex nonlinearities and a real parameter. Nonlocal and multiple existence results are established. Characteristic values of the real parameter are introduced and their role in t...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204305119 |
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| _version_ | 1849404645757157376 |
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| author | Abdallah El Hamidi |
| author_facet | Abdallah El Hamidi |
| author_sort | Abdallah El Hamidi |
| collection | DOAJ |
| description | This paper deals with an elliptic equation involving Paneitz
type operators on compact Riemannian manifolds with
concave-convex nonlinearities and a real parameter. Nonlocal
and multiple existence results are established.
Characteristic values of the real parameter are introduced
and their role in the change of the energy sign and the
existence of positive solutions are highlighted. |
| format | Article |
| id | doaj-art-9b90f15bbe3740e294adf09bd431c6ae |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-9b90f15bbe3740e294adf09bd431c6ae2025-08-20T03:36:54ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004462453247210.1155/S0161171204305119Multiple solutions to a nonlinear elliptic equation involving Paneitz type operatorsAbdallah El Hamidi0Laboratoire de Mathématiques et Applications, Université de La Rochelle, avenue Michel Crépeau, La Rochelle 17000, FranceThis paper deals with an elliptic equation involving Paneitz type operators on compact Riemannian manifolds with concave-convex nonlinearities and a real parameter. Nonlocal and multiple existence results are established. Characteristic values of the real parameter are introduced and their role in the change of the energy sign and the existence of positive solutions are highlighted.http://dx.doi.org/10.1155/S0161171204305119 |
| spellingShingle | Abdallah El Hamidi Multiple solutions to a nonlinear elliptic equation involving Paneitz type operators International Journal of Mathematics and Mathematical Sciences |
| title | Multiple solutions to a nonlinear elliptic equation involving Paneitz type operators |
| title_full | Multiple solutions to a nonlinear elliptic equation involving Paneitz type operators |
| title_fullStr | Multiple solutions to a nonlinear elliptic equation involving Paneitz type operators |
| title_full_unstemmed | Multiple solutions to a nonlinear elliptic equation involving Paneitz type operators |
| title_short | Multiple solutions to a nonlinear elliptic equation involving Paneitz type operators |
| title_sort | multiple solutions to a nonlinear elliptic equation involving paneitz type operators |
| url | http://dx.doi.org/10.1155/S0161171204305119 |
| work_keys_str_mv | AT abdallahelhamidi multiplesolutionstoanonlinearellipticequationinvolvingpaneitztypeoperators |