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Geometrical properties of nonlinear maps and their application, Part I: The topological degree of quasiruled Fredholm maps on quasicylindrical domains
J. Math. Anal. Appl. 329, 383-391 (2007)
In this paper we introduce the notion of quasicylindrical domains in Banach spaces and develop a concept of a degree for quasiruled Fredholm mappings on quasicylindrical domains. Note that this quasicylindrical structure appears in a rather natural way, whenever 'analytically' given nonlinear pseudodifferential operators are investigated in spaces of sufficiently smooth functions. Moreover, the class of quasiruled Fredholm mappings on quasicylindrical domains is sufficiently large, so that within this framework one can study a quite large class of nonlinear boundary value problems which are related to pseudodifferential operators.
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Publication type
Article: Journal article
Document type
Scientific Article
Keywords
Nonlinear Fredholm maps; Topological degree
ISSN (print) / ISBN
0022-247X
e-ISSN
1096-0813
Quellenangaben
Volume: 329,
Issue: 1,
Pages: 383-391
Publisher
Elsevier
Publishing Place
San Diego, CA
Non-patent literature
Publications
Reviewing status
Peer reviewed
Institute(s)
Institute of Biomathematics and Biometry (IBB)