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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| Main Author: | |
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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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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |