The \(N\)-Laplacian elliptic equation: Variational versus entropy solutions
type: Item
instance of: scholarly article
title: The \(N\)-Laplacian elliptic equation: Variational versus entropy solutions
zbMATH Open document ID: 0866.35038
published in: Journal of Mathematical Analysis and Applications
publication date: 1996-11-13T00:00:00Z
review text: The paper deals with the homogeneous Dirichlet problem in a bounded \(N\)-dimensional domain for the nonlinear \(N\)-Laplacian when the second member is assumed to be merely integrable. The standard concept of a variational (or energy) solution is compared with the concept of an entropy solution. The conditions on the second member, under which the solutions are bounded, are also discussed.
Mathematics Subject Classification ID: 35J65
Mathematics Subject Classification ID: 35J20
zbMATH DE Number: 930218
zbMATH Keywords: variational solutions
zbMATH Keywords: bounded solutions
zbMATH Keywords: entropy solution
author: Lucio Boccardo
author: Ireneo Peral
author: Juan Luis Vázquez
reviewed by: G. Jaiani
MaRDI profile type: Publication
full work available at URL: jmaa.1996.0280
OpenAlex ID: W2066723430
DOI: 10.1006/JMAA.1996.0280
description: scientific article; zbMATH DE number 930218