Renormalized solutions for some boundary valueelliptic problem withl1−data in generalized Sobolev spaces
Résumé
The aim of this paper is to investigate an existence of renormalized solutions forsome boundary value elliptic problem of the form −div(a(x, u,∇u) + Φ(x, u)) +g(x, u,∇u) =f in Ω,in the framework of Musielak-Orlicz spaces, where the term Φ satisfies the naturalgrowth condition, the functionghas a natural growth with respect to its third argument andwithout sign condition, no ∆2-condition is assumed on the Musielak function, and f∈L1(Ω)
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Références
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