Global persistence of the unit eigenvectors of perturbed eigenvalue problems in Hilbert spaces

DOI10.4171/ZAA/1669WikidataQ122113085 ScholiaQ122113085MaRDI QIDQ2658500

Pierluigi Benevieri, Maria Patrizia Pera, Alessandro Calamai, Massimo Furi

Publication date: 23 March 2021

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.07021

zbMATH Keywords

eigenvalueseigenvectorsFredholm operatorsnonlinear spectral theory

Mathematics Subject Classification ID

Eigenvalue problems for linear operators (47A75) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10)

Related Items (3)

The Brouwer degree associated to classical eigenvalue problems and applications to nonlinear spectral theory ⋮ The index bundle for selfadjoint Fredholm operators and multiparameter bifurcation for Hamiltonian systems ⋮ A degree associated to linear eigenvalue problems in Hilbert spaces and applications to nonlinear spectral theory

Cites Work

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• A continuation principle for periodic solutions of forced motion equations on manifolds and applications to bifurcation theory
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• What do you mean by ``Nonlinear eigenvalue problems?
• PERSISTENCE OF THE NORMALIZED EIGENVECTORS OF A PERTURBED OPERATOR IN THE VARIATIONAL CASE
• NORMALIZED EIGENVECTORS OF A PERTURBED LINEAR OPERATOR VIA GENERAL BIFURCATION
• Differential Topology
• An Infinite Dimensional Version of Sard's Theorem

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