A remark on bifurcation of Fredholm maps

Author:

Waterstraat Nils1

Affiliation:

1. School of Mathematics, Statistics & Actuarial Science, University of Kent, Canterbury, Kent CT2 7NF, United Kingdom

Abstract

AbstractWe modify an argument for multiparameter bifurcation of Fredholm maps by Fitzpatrick and Pejsachowicz to strengthen results on the topology of the bifurcation set. Furthermore, we discuss an application to families of differential equations parametrised by Grassmannians.

Publisher

Walter de Gruyter GmbH

Subject

Analysis

Reference42 articles.

1. Index bundle, Leray–Schauder reduction and bifurcation of solutions of nonlinear elliptic boundary value problems;Topol. Methods Nonlinear Anal.,2001

2. Bifurcation of Fredholm maps II. The dimension of the set of bifurcation points;Topol. Methods Nonlinear Anal.,2011

3. A remark on singular sets of vector bundle morphisms;Eur. J. Math.,2015

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