PERSISTENCE OF THE NORMALIZED EIGENVECTORS OF A PERTURBED OPERATOR IN THE VARIATIONAL CASE

DOI10.1017/S0017089512000791zbMath1280.47021MaRDI QIDQ2845577

Maria Patrizia Pera, Massimo Furi, Raffaele Chiappinelli

Publication date: 2 September 2013

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

bifurcationfinite multiplicitynormalized eigenvectorsperturbed operatorspersistent eigenvectorvariational case

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Perturbation theory of linear operators (47A55) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Abstract bifurcation theory involving nonlinear operators (47J15) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

Related Items (7)

The Brouwer degree associated to classical eigenvalue problems and applications to nonlinear spectral theory ⋮ Global continuation of the eigenvalues of a perturbed linear operator ⋮ Global persistence of the unit eigenvectors of perturbed eigenvalue problems in Hilbert spaces ⋮ Global continuation in Euclidean spaces of the perturbed unit eigenvectors corresponding to a simple eigenvalue ⋮ Approximation and convergence rate of nonlinear eigenvalues: Lipschitz perturbations of a bounded self-adjoint operator ⋮ Eigenvalue problems for Fredholm operators with set-valued perturbations ⋮ A degree associated to linear eigenvalue problems in Hilbert spaces and applications to nonlinear spectral theory

Cites Work

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• Topological persistence of the normalized eigenvectors of a perturbed self-adjoint operator
• Co-bifurcating branches of solutions for nonlinear eigenvalue problems in Banach spaces
• Bifurcation from simple eigenvalues
• NORMALIZED EIGENVECTORS OF A PERTURBED LINEAR OPERATOR VIA GENERAL BIFURCATION

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