English

A counterexample to a nonlinear version of the Krein-Rutman theorem by R. Mahadevan

Functional Analysis 2019-03-20 v1

Abstract

In this short note we present a simple counterexample to a nonlinear version of the Krein-Rutman theorem reported in [Nonlinear Anal. 11 (2007), 3084-3090]. Correct versions of this theorem, and related results for superadditive maps are also presented.

Keywords

Cite

@article{arxiv.1802.04745,
  title  = {A counterexample to a nonlinear version of the Krein-Rutman theorem by R. Mahadevan},
  author = {Ari Arapostathis},
  journal= {arXiv preprint arXiv:1802.04745},
  year   = {2019}
}

Comments

To appear in Nonlinear Analysis, 6 pages