On the antimaximum principle for the \(p\)-Laplacian with indefinite weight
type: Item
instance of: scholarly article
title: On the antimaximum principle for the \(p\)-Laplacian with indefinite weight
zbMATH Open document ID: 1157.35445
DOI: 10.1016/S0362-546X(01)00839-2
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2002-09-30T00:00:00Z
review text: This paper is devoted to the study of the antimaximum principle (AMP) for the problem \[ \begin{gathered} -\Delta_p u=\lambda m(x)|u|^{p-2} u+ h(x)\quad\text{in }\Omega,\\ Bu= 0\quad\text{on }\partial\Omega,\end{gathered} \] where \(\Omega\) is a bounded domain in \(\mathbb{R}^N\), \(\Delta_p\) is the \(p\)-Laplacian and \(Bu= 0\) represents either the Dirichlet or the Neumann homogeneous boundary conditions. The authors show that under suitable assumption on \(m(x)\), \(h(x)\) AMP holds.
reviewed by: Messoud Efendiev
Mathematics Subject Classification ID: 35P30
Mathematics Subject Classification ID: 35J60
zbMATH DE Number: 1810001
zbMATH Keywords: \(p\)-Laplacian
zbMATH Keywords: antimaximum principle
zbMATH Keywords: indefinite weight
author: T. Godoy
author: J.-P. Gossez
author: Sofia Paczka
MaRDI profile type: Publication
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full work available at URL: s0362-546x(01)00839-2
OpenAlex ID: W2158446779
description: scientific article; zbMATH DE number 1810001