Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
844014 | Nonlinear Analysis: Theory, Methods & Applications | 2008 | 19 Pages |
Abstract
We prove the existence results in the setting of Orlicz spaces for the unilateral problem associated to the following equation, Au+g(x,u,âu)=f, where A is a Leray-Lions operator acting from its domain D(A)âW01LM(Ω) into its dual, while g(x,u,âu) is a nonlinear term having a growth conditions with respect to âu and no growth with respect to u, but does not satisfy any sign condition. The right-hand side f belongs to L1(Ω), and the obstacle is a measurable function.
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
L. Aharouch, A. Benkirane, M. Rhoudaf,