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

Article ID Journal Published Year Pages File Type
7222633 Nonlinear Analysis: Theory, Methods & Applications 2018 7 Pages PDF
Abstract
In this short note we present a simple counterexample to a nonlinear version of the KreÄ­n-Rutman theorem reported in Mahadevan (2007). Correct versions of this theorem, and related results for superadditive maps are also presented.
Keywords
47H1047J1047B6547H07Krein–Rutman TheoremPrincipal eigenvalueprimaryPositive operatorsecondaryConvex cone
Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
Preview
A counterexample to a nonlinear version of the KreÄ­n-Rutman theorem by R. Mahadevan
Authors
Ari Arapostathis,
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Journal
Nonlinear Analysis: Theory, Methods & Applications
Journal: Nonlinear Analysis: Theory, Methods & Applications
Related Categories
47H10
47J10
47B65
47H07
Krein–Rutman Theorem
Principal eigenvalue
primary
Positive operator
secondary
Convex cone
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