Browsing by Author "Supervisor: Mecheter, Rabah"

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    Elliptic problem with irregular data ( weak and entropy solutions)
    (University of M'sila, 2023-06-10) Nouibat, Wassila; Supervisor: Mecheter, Rabah
    In this work, we study the existence and regularity of a weak and entropy solutions of elliptic problem (P) defined by (P) I Au u == 0f on on ∂Ω; Ω, the operator Au = −div(| ∇u |p−2 ∇u), 1 < p < ∞ is a pseudo-monotone operator, f ∈ M(Ω) or f ∈ L1(Ω). The method of solving our problem consist of obtaining local estimates for suitable approximate problems and then passing to the limit.