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Existence of entropy solutions for some nonlinear problems in Orlicz spaces

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  • A. Benkirane
  • J. Bennouna

Abstract

We study in the framework of Orlicz Sobolev spaces W01LM(Ω), the existence of entropic solutions to the nonlinear elliptic problems: −div a(x,u,∇u) + div Φ(u) = f in Ω, for the case where the second member of the equation f ∈ L 1(Ω), and Φ∈(C0(ℝ))N.

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Handle: RePEc:wly:jnlaaa:v:7:y:2002:i:2:p:85-102
DOI: 10.1155/S1085337502000751
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