Electronic Journal of Differential Equations,
Vol. 2001(2001), No. 71, pp. 1-19.

Title: Existence of solutions for quasilinear degenerate elliptic equations
   
Authors: Y. Akdim (Faculte des Sciences Dhar-Mahraz, Maroc)
E. Azroul (Faculte des Sciences Dhar-Mahraz, Maroc)
A. Benkirane (Faculte des Sciences Dhar-Mahraz, Maroc)
                
Abstract:  
 In this paper, we study the existence of solutions for quasilinear
 degenerate elliptic equations of the form
   $A(u)+g(x,u,\nabla u)=h$,
 where $A$ is a Leray-Lions operator from $W_0^{1,p}(\Omega,w)$
 to its dual. On the nonlinear term $g(x,s,\xi)$, we assume growth
 conditions on $\xi$, not on $s$, and a sign condition on $s$.  

Submitted October 16, 2001. Published November 26, 2001. 
Math Subject Classifications: 35J15, 35J20, 35J70.
Key Words: Weighted Sobolev spaces; Hardy inequality; 
           Quasilinear degenerate elliptic operators.