Renormalized solutions for nonlinear degenerate elliptic problems with \(L^1\) data
type: Item
instance of: scholarly article
title: Renormalized solutions for nonlinear degenerate elliptic problems with \(L^1\) data
zbMATH Open document ID: 1171.35055
author: Kaouther Ammar
author: Hicham Redwane
published in: Revista Matemática Complutense
publication date: 2009-04-02T00:00:00Z
full work available at URL: https://eudml.org/doc/42335
full work available at URL: vol22-1b.html
review text: The paper deals with the problem of existence of s.c. renormalized solutions for a class of nonlinear degenerate elliptic equations when the left-hand side is represented by the Leray-Lions operator defined on the weighted Sobolev spaces \(W^{1,p}_0(\Omega,w)\), but which is not controlled with respect to the unknown function. Under some assumptions the existence of an at least renormalized solution of the problem, when the solution vanishes on the boundary of an open bounded subset \(\Omega\) of \(\mathbb R^N\), \(N\geq 1\), and the equation right-hand side from \(L^1(\Omega)\), has been proved.
reviewed by: G. Jaiani
Mathematics Subject Classification ID: 35J70
Mathematics Subject Classification ID: 47A15
Mathematics Subject Classification ID: 46A35
zbMATH DE Number: 5538716
zbMATH Keywords: renormalized solutions
zbMATH Keywords: nonlinear degenerate equations
zbMATH Keywords: weighted Sobolev spaces
MaRDI profile type: Publication
OpenAlex ID: W2123101215
DOI: 10.5209/REV_REMA.2009.V22.N1.16308
description: scientific article; zbMATH DE number 5538716