Existence of solutions of degenerated unilateral problems with L 1 data
Lahsen Aharouch, Youssef Akdim · Annales mathématiques Blaise Pascal · 2004
In this paper, we shall be concerned with the existence result of the Degenerated unilateral problem associated to the equation of the type A u + g ( x , u , ∇ u ) = f - div F , where A is a Leray-Lions operator and g is a Carathéodory function having natural growth with respect to | ∇ u | and satisfying the sign condition. The second term is such that, f ∈ L 1 ( Ω ) and F ∈ Π i = 1 N L p ′ ( Ω , w i 1 - p ′ ) .