Existence of entropy solutions for some nonlinear problems in Orlicz spaces
type: Item
instance of: scholarly article
title: Existence of entropy solutions for some nonlinear problems in Orlicz spaces
zbMATH Open document ID: 1005.35041
DOI: 10.1155/S1085337502000751
published in: Abstract and Applied Analysis
publication date: 2002-08-13T00:00:00Z
full work available at URL: https://eudml.org/doc/49753
review text: Summary: We study in the framework of Orlicz Sobolev spaces \(W_0^1 L_{M}(\Omega)\) the existence of entropic solutions to the nonlinear elliptic problems \[ -\text{div} a (x,u,\nabla u)+\text{div} \Phi (u)=f\quad\text{in }\Omega, \] for the case where the second member of the equation \(f\in L^{1} (\Omega)\), and \(\Phi \in C^0(\mathbb{R}^N)\).
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 46E30
Mathematics Subject Classification ID: 37A35
Mathematics Subject Classification ID: 35A05
zbMATH DE Number: 1780524
zbMATH Keywords: growth conditions
zbMATH Keywords: \(N\)-function
zbMATH Keywords: Sobolev spaces
author: A. Benkirane
author: Jaouad Bennouna
MaRDI profile type: Publication
OpenAlex ID: W2010648827
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description: scientific article; zbMATH DE number 1780524