Eigenvalue problems for Fredholm operators with set-valued perturbations
Analysis of PDEs
2018-12-05 v1
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.
Cite
@article{arxiv.1812.01347,
title = {Eigenvalue problems for Fredholm operators with set-valued perturbations},
author = {Pierluigi Benevieri and Antonio Iannizzotto},
journal= {arXiv preprint arXiv:1812.01347},
year = {2018}
}
Comments
21 pages, 1 figure