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 $1<p,q<p_2^*$
 and $m\in L^\infty(\Omega)\setminus \{0\}$, $m\geq 0$.
 In the case $p>q$ 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.