Existence of entropy solutions for some nonlinear problems in Orlicz spaces

A. Benkirane and J. Bennouna

Abstract and Applied Analysis, 2002, vol. 7, 1-18

Abstract:

We study in the framework of Orlicz Sobolev spaces W 0 1 L M ( 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 ∈ ( C 0 ( ℝ ) ) N .

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:321860

DOI: 10.1155/S1085337502000751

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