Eigenvalue problems for Fredholm operators with set-valued perturbations

Pierluigi Benevieri; Antonio Iannizzotto

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arXiv · 1812.01347

Eigenvalue problems for Fredholm operators with set-valued perturbations

Pierluigi Benevieri·Antonio Iannizzotto

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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.

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Pierluigi Benevieri, Antonio Iannizzotto. 2018-12-04. Eigenvalue problems for Fredholm operators with set-valued perturbations. https://arxiv.org/abs/1812.01347

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