A global bifurcation theorem for critical values in Banach spaces

被引：0
作者：
Pablo Amster
Pierluigi Benevieri
Julián Haddad
机构：
[1] Universidad de Buenos Aires and IMAS-CONICET,Departamento de Matemática, Facultad de Ciencias Exactas y Naturales
[2] Universidade de São Paulo,Instituto de Matemática e Estatística
[3] Universidade Federal de Minas Gerais,Departamento de Matemática, ICEx
来源：
Annali di Matematica Pura ed Applicata (1923 -) | 2019年 / 198卷
关键词：
Global bifurcation; Critical values; Spectral flow; 58E05; 58E07; 58J30;
D O I：
暂无
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学科分类号：
摘要：
We present a global bifurcation result for critical values of C1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C^1$$\end{document} maps in Banach spaces. The approach is topological based on homotopy equivalence of pairs of topological spaces. For C2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C^2$$\end{document} maps, we prove a particular global bifurcation result, based on the notion of spectral flow.
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页码：773 / 794
页数：21
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