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
L. Aharouch
, A. Benkirane
and M. Rhoudaf
Département de Mathématiques et Informatique, Faculté des Sciences Dhar-Mahraz, Université Sidi Mohamed Ben Abdallah B.P. 1796, Atlas Fès, Morocco
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).