Abstract and Applied Analysis
Volume 2005 (2005), Issue 1, Pages 11-31
Quasilinear degenerate elliptic unilateral problems
Département deMathématiques et Informatique, Faculté des Sciences Dhar-Mahraz, BP 1796 Atlas, Fès, Morocco
Received 20 February 2004
Copyright © 2005 L. Aharouch et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We will be concerned with the existence result of a degenerate elliptic unilateral problem of the form ,
where is a Leray-Lions operator from into its dual. On the nonlinear lower-order term , we assume that it is a Carathéodory function having natural growth with
respect to , but without assuming the sign condition. The right-hand side belongs to .