Degree theories and invariance of domain for perturbed maximal monotone operators in Banach spaces
type: Item
instance of: scholarly article
title: Degree theories and invariance of domain for perturbed maximal monotone operators in Banach spaces
zbMATH Open document ID: 1160.47044
author: Athanassios G. Kartsatos
author: Igor V. Skrypnik
published in: Advances in Differential Equations
publication date: 2008-09-12T00:00:00Z
review text: This paper is devoted to the extension of the invariance of domain theorem to different kinds of perturbations of a maximal monotone operator \(T:X\supset D(T)\to 2^{X^*}\), where \(X\) is a real reflexive Banach space with dual \(X^*\). Namely, the authors develop an invariance of domain theory for operators of the form \[ T+C:D(T)\cap D(C)\to 2^{X^*} \] under several conditions for the operators \(T\) and \(C:X\supset D(C)\to X^*\).
reviewed by: Marco Spadini
Mathematics Subject Classification ID: 47H14
Mathematics Subject Classification ID: 47H07
Mathematics Subject Classification ID: 47H11
zbMATH DE Number: 5343686
zbMATH Keywords: maximal monotone operator
zbMATH Keywords: invariance of domain
zbMATH Keywords: degree theory
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5343686