Eigenvalue problems for Fredholm operators with set-valued perturbations

DOI10.1515/ans-2020-2090OpenAlexW3037199893WikidataQ122112955 ScholiaQ122112955MaRDI QIDQ783327

Pierluigi Benevieri, Antonio Iannizzotto

Publication date: 12 August 2020

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.01347

zbMATH Keywords

set-valued mapsFredholm operatorseigenvalue problems

Mathematics Subject Classification ID

Degree theory for nonlinear operators (47H11) (Semi-) Fredholm operators; index theories (47A53) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Set-valued and function-space-valued mappings on manifolds (58C06)

Cites Work

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• Topological persistence of the unit eigenvectors of a perturbed Fredholm operator of index zero
• On the persistence of the eigenvalues of a perturbed Fredholm operator of index zero under nonsmooth perturbations
• Topological persistence of the normalized eigenvectors of a perturbed self-adjoint operator
• About the sign of oriented Fredholm operators between Banach spaces
• A degree theory for locally compact perturbations of Fredholm maps in Banach spaces
• An oriented coincidence index for nonlinear Fredholm inclusions with nonconvex-valued perturbations
• A degree theory for a class of perturbed Fredholm maps. II
• A degree theory for a class of perturbed Fredholm maps
• PERSISTENCE OF THE NORMALIZED EIGENVECTORS OF A PERTURBED OPERATOR IN THE VARIATIONAL CASE
• Topological Analysis
• Topological degree and atypical bifurcation results for a class of multivalued perturbations of Fredholm maps in Banach spaces
• NORMALIZED EIGENVECTORS OF A PERTURBED LINEAR OPERATOR VIA GENERAL BIFURCATION
• Differential Topology
• Topological Fixed Point Theory of Multivalued Mappings
• On the concept of orientability for Fredholm maps between real Banach manifolds

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