Existence of solutions for unilateral problems with L¹ data in Orlicz spaces
Author
Aharouch, L.
Rhoudaf, Mohamed
Abstract
This article is concerned with the existence result of the unilateral problem associated to equations of the typeAu + g(x, u, ∇u) = f,in Orlicz spaces, where f ∈ L¹(Ω), the term g is a nonlinearity having natural growth and satisfying the sign condition. Some stability and positivity properties of solutions are proved.