A note on a non-linear Krein-Rutman theorem

2006/10/10 by Rajesh Mahadevan, Mahadevan, Rajesh
Mathematics · #47H11 #47H12 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #math.AP #math.FA #msc:47H11 #msc:47H12

paper · pdf · doi:10.48550/arxiv.math/0610336

arxiv created 2006/10/10 · arxiv updated 2009/12/01

Abstract

In this note we will present an extension of the Krein-Rutman theorem for an abstract nonlinear, compact, positively 1-homogeneous, monotone non-decreasing operators on a Banach space and apply the result to many nonlinear elliptic partial differential operators.

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