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Nonlinear unilateral problems in Orlicz spaces

L. Aharouch; E. Azroul; M. Rhoudaf — 2006

Applicationes Mathematicae

We prove the existence of solutions of the unilateral problem for equations of the type Au - divϕ(u) = μ in Orlicz spaces, where A is a Leray-Lions operator defined on $(A) \subset W ₀ ¹ L_{M} (Ω)$ , $μ \in L ¹ (Ω) + W^{- 1} E_{M ̅} (Ω)$ and $ϕ \in C ⁰ (ℝ, ℝ^{N})$ .

Strongly nonlinear elliptic unilateral problems in Orlicz space and $L^{1}$ data.

Aharouch, L.; Rhoudaf, M. — 2005

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Strongly nonlinear elliptic variational unilateral problems in Orlicz space.

Aharouch, L.; Benkirane, A.; Rhoudaf, M. — 2006

Abstract and Applied Analysis

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