Browsing by Author "Berrabeh, Souad"

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    Existence and regularity of the solution of some elliptic problems
    (Mohamed Boudiaf University of M'sila, 2024) Berrabeh, Souad; Rabah, Mecheter: Rapporteur
    in this work, we prove the existence and regularity of a weak solutions of elliptic problem (P) defined by (P) ( Au = f in Ω; u = 0 on ∂Ω, the operator Au = −div(| ∇u | p−2 ∇u), 1 < p < ∞ is a pseudo-monotone operator, f ∈ L 1 (Ω). The method of solving our problem consist of obtaining local estimates for suitable approximate problems and then passing to the limit.