Electronic Journal of Differential Equations,
Conference 09 (2002), pp. 9-24.

Title: Pseudo-monotonicity and degenerate elliptic operators  
  of second order

Authors: Youssef Akdim (Faculte des Sciences Dhar-Mahraz, Fes, Maroc)
  Elhoussine Azroul (Faculte des Sciences Dhar-Mahraz, Fes, Maroc)
 
Abstract: 
 Extending the theory of pseudo-monotone mappings in
 weighted Sobolev spaces, we prove  some existence results for
 degenerate or singular elliptic equations generated by the
 second-order differential operator
 $$
 Au(x)=-\mathop{\rm div}a(x,u,\nabla u))+a_0(x,u,\nabla u),
 $$
 (in particular, when only large monotonicity is satisfied)

Published December 28, 2002.
Math Subject Classifications: 35J25, 35J70.
Key Words: Weighted Sobolev spaces; pseudo-monotonicity;
 nonlinear degenerate elliptic operators.