An extension of the topological degree in Hilbert space

Autor: J. Berkovits, C. Fabry
Jazyk: angličtina
Rok vydání: 2005
Předmět:
Zdroj: Abstract and Applied Analysis, Vol 2005, Iss 6, Pp 581-597 (2005)
Druh dokumentu: article
ISSN: 1085-3375
1687-0409
DOI: 10.1155/AAA.2005.581
Popis: We define classes of mappings of monotone type with respect to a given direct sum decomposition of the underlying Hilbert space H. The new classes are extensions of classes of mappings of monotone type familiar in the study of partial differential equations, for example, the class (S+) and the class of pseudomonotone mappings. We then construct an extension of the Leray-Schauder degree for mappings involving the above classes. As shown by (semi-abstract) examples, this extension of the degree should be useful in the study of semilinear equations, when the linear part has an infinite-dimensional kernel.
Databáze: Directory of Open Access Journals
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