A note on a non-linear Krein-Rutman theorem
Functional Analysis
2007-05-23 v1 Analysis of PDEs
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.
Cite
@article{arxiv.math/0610336,
title = {A note on a non-linear Krein-Rutman theorem},
author = {Rajesh Mahadevan},
journal= {arXiv preprint arXiv:math/0610336},
year = {2007}
}