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

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

Internet

https://www.mdpi.com/2227-7390/9/5/561

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