ON THE DEGREE FOR ORIENTED QUASI-FREDHOLM MAPS: ITS UNIQUENESS AND ITS EFFECTIVE EXTENSION OF THE LERAY-SCHAUDER DEGREE

Autor(es)

Benevieri, Pierluigi ^{[1, 2]} ; Calamai, Alessandro ^[3] ; Furi, Massimo

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS; v. 46, n. 1, p. 401-430, SEP 2015.
• Citações Web of Science: 3

Resumo

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)

• Processo FAPESP: 10/20727-4 - Existência e bifurcação de soluções de particulares equações diferenciais não lineares: uma abordagem topológica
• Beneficiário: Pierluigi Benevieri
• Modalidade de apoio: Auxílio à Pesquisa - Regular