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.
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1999-01-01
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Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/S1085337599000111 |
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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 |
work_keys_str_mv |
AT juhaberkovits onthedegreetheoryfordenselydefinedmappingsofclasssl |
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