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

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.

To appear in Nonlinear Analysis, 6 pages

Cited by in corpus (3)

• Ergodic Risk-Sensitive Control of Markov Processes on Countable State Space Revisited
• Nonzero-sum risk-sensitive continuous-time stochastic games with ergodic costs
• A uniqueness result for a simple superlinear eigenvalue problem