Global Persistence of the Unit Eigenvectors of Perturbed Eigenvalue Problems in Hilbert Spaces: The Odd Multiplicity Case

We study the persistence of eigenvalues and eigenvectors of perturbed eigenvalue problems in Hilbert spaces. We assume that the unperturbed problem has a nontrivial kernel of odd dimension and we prove a Rabinowitz-type global continuation result. The approach is topological, based on a notion of de...

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Bibliographic Details

Published in:	Mathematics
Main Authors:	Pierluigi Benevieri, Alessandro Calamai, Massimo Furi, Maria Patrizia Pera
Format:	Article
Language:	English
Published:	MDPI AG 2021-03-01
Subjects:	eigenvalues eigenvectors nonlinear spectral theory topological degree bifurcation
Online Access:	https://www.mdpi.com/2227-7390/9/5/561