On the degree theory for densely defined mappings of class (S+)L

We introduce a new construction of topological degree for densely defined mappings of monotone type. We also study the structure of the classes of mappings involved. Using the basic properties of the degree, we prove some abstract existence results that can be applied to elliptic problems.

Bibliographic Details
Main Author: Juha Berkovits
Format: Article
Language:English
Published: Hindawi Limited 1999-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/S1085337599000111
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spelling doaj-1883b5cef86b45c88fc9e910b61de3692020-11-24T23:23:08ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04091999-01-014314115210.1155/S1085337599000111On the degree theory for densely defined mappings of class (S+)LJuha Berkovits0Department of Mathematical Sciences, University of Oulu, P.O. Box 3000, Oulu FIN-90401, FinlandWe introduce a new construction of topological degree for densely defined mappings of monotone type. We also study the structure of the classes of mappings involved. Using the basic properties of the degree, we prove some abstract existence results that can be applied to elliptic problems.http://dx.doi.org/10.1155/S1085337599000111
collection DOAJ
language English
format Article
sources DOAJ
author Juha Berkovits
spellingShingle Juha Berkovits
On the degree theory for densely defined mappings of class (S+)L
Abstract and Applied Analysis
author_facet Juha Berkovits
author_sort Juha Berkovits
title On the degree theory for densely defined mappings of class (S+)L
title_short On the degree theory for densely defined mappings of class (S+)L
title_full On the degree theory for densely defined mappings of class (S+)L
title_fullStr On the degree theory for densely defined mappings of class (S+)L
title_full_unstemmed On the degree theory for densely defined mappings of class (S+)L
title_sort on the degree theory for densely defined mappings of class (s+)l
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 1999-01-01
description We introduce a new construction of topological degree for densely defined mappings of monotone type. We also study the structure of the classes of mappings involved. Using the basic properties of the degree, we prove some abstract existence results that can be applied to elliptic problems.
url http://dx.doi.org/10.1155/S1085337599000111
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