The Brouwer degree associated to classical eigenvalue problems and applications to nonlinear spectral theory
DOI:
https://doi.org/10.12775/TMNA.2021.006Keywords
Eigenvalues, eigenvectors, nonlinear spectral theory, degree theoryAbstract
Thanks to a connection between two completely different topics, the classical eigenvalue problem in a finite dimensional real vector space and the Brouwer degree for maps between oriented differentiable real manifolds, we are able to solve, at least in the finite dimensional context, a conjecture regarding global continuation in nonlinear spectral theory that we formulated in some recent papers. The infinite dimensional case seems nontrivial, and is still unsolved.References
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Copyright (c) 2021 Pierluigi Benevieri, Alessandro Calamai, Massimo Furi, Maria Patrizia Pera
This work is licensed under a Creative Commons Attribution-NoDerivatives 4.0 International License.
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