The Brouwer degree associated to classical eigenvalue problems and applications to nonlinear spectral theory
Spectral Theory
2019-12-09 v1 Dynamical Systems
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.
Cite
@article{arxiv.1912.03182,
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 preprint arXiv:1912.03182},
year = {2019}
}
Comments
20 pages