A Browder degree theory from the Nagumo degree on the Hilbert space of elliptic super-regularization
type: Item
instance of: scholarly article
title: A Browder degree theory from the Nagumo degree on the Hilbert space of elliptic super-regularization
zbMATH Open document ID: 1206.55004
author: Athanassios G. Kartsatos
author: David Kerr
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2010-11-25T00:00:00Z
review text: A new construction of topological degree for some classes of noncompact mappings defined on open subsets of Hilbert spaces is defined. The main tool is the so-called Nagumo degree. Some properties of this topological degree theory and its applications are presented, too. The present paper is very interesting for mathematicians working in topological methods and their applications to nonlinear analysis and differential equations.
Mathematics Subject Classification ID: 55M25
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 47H11
zbMATH DE Number: 5819593
zbMATH Keywords: Browder degree theory
zbMATH Keywords: Nagumo degree theory
zbMATH Keywords: Skrypnik degree theory
zbMATH Keywords: maximal monotone operator
zbMATH Keywords: bounded demicontinuous operator of type \((S_{+})\)
zbMATH Keywords: compact operator
zbMATH Keywords: elliptic super-regularization
reviewed by: Lech Górniewicz
MaRDI profile type: Publication
full work available at URL: j.na.2010.09.005
OpenAlex ID: W2035749539
cites work: Perturbations of nonlinear maximal monotone sets in banach space
cites work: Q4173851
cites work: The Leray-Schauder approach to the degree theory for \((S_+)\)-perturbations of maximal monotone operators in separable reflexive Banach spaces
cites work: Q4049449
cites work: Q4312115
cites work: On the topological degree for mappings of monotone type
cites work: Degree of mapping for nonlinear mappings of monotone type
cites work: Degree of mapping for nonlinear mappings of monotone type: Densely defined mapping
cites work: Degree of mapping for nonlinear mappings of monotone type: Strongly nonlinear mapping
cites work: Fixed point theory and nonlinear problems
cites work: The degree of mapping, and its generalizations
cites work: Q4143788
cites work: Degree of Mapping in Convex Linear Topological Spaces
cites work: Q3730503
cites work: Topological degree theories and nonlinear operator equations in Banach spaces
cites work: Strongly quasibounded maximal monotone perturbations for the Berkovits--Mustonen topological degree theory
cites work: New results in the perturbation theory of maximal monotone and $M$-accretive operators in Banach spaces
cites work: On the connection between the existence of zeros and the asymptotic behavior of resolvents of maximal monotone operators in reflexive Banach spaces
cites work: Homotopy invariance of parameter-dependent domains and perturbation theory for maximal monotone and \(m\)-accretive operators in Banach spaces.
cites work: A new topological degree theory for densely defined \((S_+)_L\)-perturbations of multivalued maximal monotone operators in reflexive separable Banach spaces
cites work: Q3620706
cites work: A new topological degree theory for densely defined quasibounded \(({\widetilde{S}}_{+})\)-perturbations of multivalued maximal monotone operators in reflexive Banach spaces
cites work: On the eigenvalue problem for perturbed nonlinear maximal monotone operators in reflexive Banach spaces
cites work: Degree theories and invariance of domain for perturbed maximal monotone operators in Banach spaces
cites work: Q3999276
cites work: Minimax monotonicity
cites work: Q3995594
cites work: Nonlinear functional equations in Banach spaces and elliptic super- regularization
cites work: Degree theory for multivalued (S) type mappings and fixed point theorems
cites work: Nonlinear mappings of monotone type in Banach spaces
cites work: Controlling the space with preassigned responses
cites work: On a principle of H. Brezis and its applications
cites work: Q4281353
cites work: Nonlinear operators of monotone type in reflexive Banach spaces and nonlinear perturbations
DOI: 10.1016/J.NA.2010.09.005
description: scientific article; zbMATH DE number 5819593