A global bifurcation theorem for critical values in Banach spaces

被引：0

作者：

Amster, Pablo ^{[1
,2
]}

Benevieri, Pierluigi ^{[3
]}

Haddad, Julian ^{[4
]}

机构：

[1] Univ Buenos Aires, Fac Ciencias Exactas & Nat, Dept Matemat, RA-1428 Buenos Aires, DF, Argentina

[2] IMAS CONICET, RA-1428 Buenos Aires, DF, Argentina

[3] Univ Sao Paulo, Inst Matemat & Estat, BR-05508090 Sao Paulo, Brazil

[4] Univ Fed Minas Gerais, ICEx, Dept Matemat, BR-30123970 Belo Horizonte, MG, Brazil

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2019年 / 198卷 / 03期

关键词：

Global bifurcation; Critical values; Spectral flow;

D O I：

10.1007/s10231-018-0797-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a global bifurcation result for critical values of C1 maps in Banach spaces. The approach is topological based on homotopy equivalence of pairs of topological spaces. For C2 maps, we prove a particular global bifurcation result, based on the notion of spectral flow.

引用

页码：773 / 794

页数：22

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