Eigenvalue Problems for Fredholm Operators with Set-Valued Perturbations

Antonio Iannizzotto
2020-01-01

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.
2020
Fredholm operators; Eigenvalue problems; Set-valued maps
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