Abstract and Applied Analysis
Volume 7 (2002), Issue 2, Pages 85-102
doi:10.1155/S1085337502000751
Existence of entropy solutions for some nonlinear problems in Orlicz spaces
Département de Mathématique, Faculté des Sciences Dhar Mehraz, Université Sidi Mohammed Ben Abdallah, Atlas Fes BP 1796, Morocco
Received 20 October 2001
Copyright © 2002 A. Benkirane and J. Bennouna. 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.
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.