Normalized eigenvectors for nonlinear abstract and elliptic operators
type: Item
instance of: scholarly article
title: Normalized eigenvectors for nonlinear abstract and elliptic operators
zbMATH Open document ID: 0931.47050
author: Athanassios G. Kartsatos
author: Igor V. Skrypnik
published in: Journal of Differential Equations
publication date: 2000-02-23T00:00:00Z
review text: The authors study the eigenvalue problem \(Au= C(\lambda,u)\), where \(A\) is of type \((S)_+\), \(m\)-accretive, or maximal monotone, while \(C\) is continuous and bounded or compact. Particular emphasis is laid on the existence of eigenvectors with special normalization conditions which are natural in view of applications to elliptic boundary value problems.
reviewed by: Jürgen Appell
Mathematics Subject Classification ID: 47J10
Mathematics Subject Classification ID: 47H05
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 47F05
Mathematics Subject Classification ID: 47H11
zbMATH DE Number: 1333014
zbMATH Keywords: eigenvalue problem
zbMATH Keywords: type \((S)_+\)
zbMATH Keywords: \(m\)-accretive
zbMATH Keywords: maximal monotone
zbMATH Keywords: existence of eigenvectors
zbMATH Keywords: normalization conditions
zbMATH Keywords: elliptic boundary value problems
MaRDI profile type: Publication
full work available at URL: jdeq.1998.3592
OpenAlex ID: W1976726264
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DOI: 10.1006/JDEQ.1998.3592
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description: scientific article; zbMATH DE number 1333014