Topological persistence of the unit eigenvectors of a perturbed Fredholm operator of index zero
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Publication:399445
DOI10.4171/ZAA/1516zbMathNoneMaRDI QIDQ399445
Raffaele Chiappinelli, Massimo Furi, Maria Patrizia Pera
Publication date: 19 August 2014
Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)
Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Eigenvalue problems for linear operators (47A75) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10)
Related Items (8)
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 ⋮ Global perturbation of nonlinear eigenvalues ⋮ 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
- Topological persistence of the normalized eigenvectors of a perturbed self-adjoint operator
- About the sign of oriented Fredholm operators between Banach spaces
- NORMALIZED EIGENVECTORS OF A PERTURBED LINEAR OPERATOR VIA GENERAL BIFURCATION
- An Infinite Dimensional Version of Sard's Theorem
- On the concept of orientability for Fredholm maps between real Banach manifolds
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