2005-Oujda International Conference on Nonlinear Analysis,
Oujda, Morocco.
Electronic Journal of Differential Equations,
Conference 14 (2006), pp. 231-240.
Title: Existence and uniqueness of a positive solution for a non
homogeneous problem of fourth order with weights
Authors: Mohamed Talbi (Univ. Mohamed 1er, Oujda, Maroc)
Najib Tsouli (Univ. Mohamed 1er, Oujda, Maroc)
Abstract:
In this work we study the existence of a positive solutions to the
non homogeneous equation
$$
\Delta( |\Delta u|^{p-2} \Delta u) = m |u|^{q-2}u
$$
with Navier boundary conditions, where $1q$ and $m\in \mathcal{C}(\overline{\Omega})$,
we prove the uniqueness of this solution.
Published September 20, 2006.
Math Subject Classifications: 35J60, 35J30, 35J65.
Key Words: Ekeland's principle; p-biharmonic operator;
Palais-Smale condition.