Journal article
Counting zeros of C-1 Fredholm maps of index 1
- Abstract:
-
The degree defined by P. Benevieri and M. Furi (see 'A simple notion of orientability for Fredholm maps of index zero between Banach manifolds and degree theory', Ann. Sci. Math. Québec 22 (1998) 131-148) is used here to obtain some sharp lower bounds for the number of solutions of the λ-sections of the compact components of the set of non-trivial solutions of ℑ(λ, x) =0, where ℑ is a C1 Fredholm map of index 1 such that ℑ(λ,0)= 0 for all λ ∈ ℝ. These bounds are given in terms of the parity o...
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- Publication status:
- Published
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- Publisher copy:
- 10.1112/S0024609305004716
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Bibliographic Details
- Journal:
- BULLETIN OF THE LONDON MATHEMATICAL SOCIETY
- Volume:
- 37
- Issue:
- 5
- Pages:
- 778-792
- Publication date:
- 2005-10-01
- DOI:
- ISSN:
-
0024-6093
- Source identifiers:
-
12818
Item Description
- Language:
- English
- Pubs id:
-
pubs:12818
- UUID:
-
uuid:6cd4e524-2043-4267-8eea-ccfa64fc9bf8
- Local pid:
- pubs:12818
- Deposit date:
- 2012-12-19
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- Copyright date:
- 2005
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