[Banach] Abstract of a paper by Rajesh Mahadevan

This is an announcement for the paper "A note on a non-linear Krein-Rutman theorem" by Rajesh Mahadevan.

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.

Archive classification: Functional Analysis; Analysis of PDEs

Mathematics Subject Classification: 47H12,47H11

The source file(s), nlKRt-rev1.tex: 28673 bytes, is(are) stored in gzipped form as 0610336.gz with size 10kb. The corresponding postcript file has gzipped size 47kb.

Submitted from: rmahadevan@udec.cl

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http://front.math.ucdavis.edu/math.FA/0610336

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http://arXiv.org/abs/math.FA/0610336

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