Jacqueline Fleckinger, Rosa Pardo, & Francois de Thelin
We study a four-parameter bifurcation phenomenum arising in a system involving -Laplacians:
with on the boundary of a bounded and sufficiently smooth domain in ; here , with and , is the -Laplacian operator, and with . We assume that are real parameters. Then we use a bifurcation method to exhibit some nontrivial solutions. The associated eigenvalue problem, with , is also studied here.
Submitted June 29, 2000. Published January 9, 2001.
Math Subject Classifications: 35J45, 35J55, 35J60, 35J65, 35J30, 35P30.
Key Words: p-Laplacian, bifurcation.
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| Jacqueline Fleckinger |
CEREMATH & UMR MIP, Universite Toulouse 1
pl. A. France
31042 Toulouse Cedex, France
| Rosa Pardo |
Departamento de Matematica Aplicada
Universidad Complutense de Madrid
Madrid 28040, Spain
| Francois de Thelin |
UMR MIP, Universite Toulouse 3
118 route de Narbonne
31062 Toulouse Cedex 04, France
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