✦ LIBER ✦
Existence results for some unilateral problems without sign condition with obstacle free in Orlicz spaces
✍ Scribed by L. Aharouch; A. Benkirane; M. Rhoudaf
- Book ID
- 103848188
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 332 KB
- Volume
- 68
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
✦ Synopsis
We prove the existence results in the setting of Orlicz spaces for the unilateral problem associated to the following equation,
where A is a Leray-Lions operator acting from its domain D(A) ⊂ W 1 0 L M (Ω ) into its dual, while g(x, u, ∇u) is a nonlinear term having a growth conditions with respect to ∇u and no growth with respect to u, but does not satisfy any sign condition. The right-hand side f belongs to L 1 (Ω ), and the obstacle is a measurable function.