Corpus ID: 208857860

The Brouwer degree associated to classical eigenvalue problems and applications to nonlinear spectral theory

@article{Benevieri2019TheBD,
  title={The Brouwer degree associated to classical eigenvalue problems and applications to nonlinear spectral theory},
  author={Pierluigi Benevieri and Alessandro Calamai and Massimo Furi and Maria Patrizia Pera},
  journal={arXiv: Spectral Theory},
  year={2019}
}
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 were 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. 
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