A note on a non-linear Krein-Rutman theorem

Details A note on a non-linear Krein-Rutman theorem A note on a non-linear Krein-Rutman theorem

2006-10-10

arxiv.org/abs/math/0610336v1

Mathematics

Functional Analysis

Scientific paper

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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