Abstract and Applied Analysis
Volume 2006 (2006), Article ID 46867, 20 pages
doi:10.1155/AAA/2006/46867
Strongly nonlinear elliptic variational unilateral problems in Orlicz space
Département de Mathématiques et Informatique, Faculté des Sciences Dhar-Mahraz, Université Sidi Mohamed Ben Abdallah B.P. 1796, Atlas Fès, Morocco
Received 2 March 2005; Accepted 12 April 2005
Copyright © 2006 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.
Abstract
We will be concerned with the existence result of
unilateral problem associated to the equations of the
form Au+g(x,u,∇u)=f, where A is a Leray-Lions operator from its
domain D(A)⊂W01LM(Ω) into W−1EM¯(Ω). On the nonlinear lower order term g(x,u,∇u), we assume that it is a Carathéodory
function having natural growth with respect to |∇u|, and satisfies the sign condition. The right-hand side f belongs to W−1EM¯(Ω).