The Brouwer degree associated to classical eigenvalue problems and applications to nonlinear spectral theory
Abstract
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.
 Publication:

arXiv eprints
 Pub Date:
 December 2019
 arXiv:
 arXiv:1912.03182
 Bibcode:
 2019arXiv191203182B
 Keywords:

 Mathematics  Spectral Theory;
 Mathematics  Dynamical Systems
 EPrint:
 20 pages