Existence of entropy solutions for some nonlinear problems in Orlicz spaces

Benkirane, A.; Bennouna, J.

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

Abstract and Applied Analysis

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Volume 7 |Article ID 321860 | https://doi.org/10.1155/S1085337502000751

A. Benkirane, J. Bennouna, "Existence of entropy solutions for some nonlinear problems in Orlicz spaces", Abstract and Applied Analysis, vol. 7, Article ID 321860, 18 pages, 2002. https://doi.org/10.1155/S1085337502000751

Existence of entropy solutions for some nonlinear problems in Orlicz spaces

A. Benkirane¹ and J. Bennouna¹

¹Département de Mathématique, Faculté des Sciences Dhar Mehraz, Université Sidi Mohammed Ben Abdallah, Morocco

Received20 Oct 2001

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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Copyright © 2002 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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