Topological degree for a class of operators and applications
type: Item
instance of: scholarly article
title: Topological degree for a class of operators and applications
zbMATH Open document ID: 1065.47063
author: Duong Minh Duc
author: Nguyen Hoang Loc
author: T. V. Phan
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2004-09-23T00:00:00Z
review text: Using an approximation procedure, the authors define a degree theory for a class of mappings in Hilbert space which resemble operators of class \((S_+)\). As an application, they obtain generalized solutions to a strongly singular nonlinear elliptic equation.
Mathematics Subject Classification ID: 47H11
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 2102519
zbMATH Keywords: topological degree
zbMATH Keywords: nonlinear singular elliptic equation
reviewed by: Christian Fenske
MaRDI profile type: Publication
full work available at URL: j.na.2004.03.002
OpenAlex ID: W1990110080
cites work: Asymptotic fixed point theorems
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: Q3312780
cites work: The topological degree for noncompact nonlinear mappings in Banach spaces
cites work: Approximation methods and the generalized topological degree for nonlinear mappings in Banach spaces
cites work: Nonlinear Singular Elliptic Equations
cites work: Q3764765
cites work: Topological degree theories for densely defined mappings involving operators of type \((S_+)\)
cites work: The index of a critical point for densely defined operators of type \((S_+)_L\) in Banach spaces
cites work: Q3847203
cites work: Equivalence theorems for nonlinear operator equations and coincidence degree theory for some mappings in locally convex topological vector spaces
cites work: Degree theory for local condensing maps
cites work: Q4049449
cites work: Q4312115
DOI: 10.1016/J.NA.2004.03.002
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description: scientific article; zbMATH DE number 2102519