Existence of entropy solutions for some nonlinear problems in Orlicz spaces

A. Benkirane and J. Bennouna

Abstract and Applied Analysis, 2002, vol. 7, issue 2, 85-102

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.

Date: 2002
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https://doi.org/10.1155/S1085337502000751

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:7:y:2002:i:2:p:85-102

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