| Full text | |
| Author(s): |
Total Authors: 3
|
| Affiliation: | [1] Univ Sao Paulo, Inst Matemat & Estat, BR-05508090 Sao Paulo, SP - Brazil
[2] Univ Firenze, Dipartimento Matemat & Informat, I-50139 Florence - Italy
[3] Univ Politecn Marche, Dipartimento Ingn Ind & Sci Matemat, I-60131 Ancona - Italy
Total Affiliations: 3
|
| Document type: | Journal article |
| Source: | TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS; v. 46, n. 1, p. 401-430, SEP 2015. |
| Web of Science Citations: | 3 |
| Abstract | |
In a previous paper, the first and third author developed a degree theory for oriented locally compact perturbations of C-1 Fredholm maps of index zero between real Banach spaces. In the spirit of a celebrated Amann-Weiss paper, we prove that this degree is unique if it is assumed to satisfy three axioms: Normalization, Additivity and Homotopy invariance. Taking into account that any compact vector field has a canonical orientation, from our uniqueness result we shall deduce that the above degree provides an effective extension of the Leray-Schauder degree. (AU) | |
| FAPESP's process: | 10/20727-4 - Existence and bifurcation of solutions of some nonlinear differential equations: a topological approach |
| Grantee: | Pierluigi Benevieri |
| Support Opportunities: | Regular Research Grants |