Eigenvalue Problems for Fredholm Operators with Set-Valued Perturbations

Pierluigi Benevieri;Antonio Iannizzotto

2020-01-01

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Abstract

By means of a suitable degree theory, we prove persistence of eigenvalues and eigenvectors for set-valued perturbations of a Fredholm linear operator. As a consequence, we prove existence of a bifurcation point for a non-linear inclusion problem in abstract Banach spaces. Finally, we provide applications to differential inclusions.