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...

Publication status:
Published

### Access Document

Publisher copy:
10.1112/S0024609305004716

### Authors

More by this author
Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Role:
Author
Journal:
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY
Volume:
37
Issue:
5
Pages:
778-792
Publication date:
2005-10-05
DOI:
ISSN:
0024-6093
URN:
uuid:6cd4e524-2043-4267-8eea-ccfa64fc9bf8
Source identifiers:
12818
Local pid:
pubs:12818
Language:
English