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arxiv: math/0610336 · v1 · submitted 2006-10-10 · 🧮 math.FA · math.AP

A note on a non-linear Krein-Rutman theorem

classification 🧮 math.FA math.AP
keywords krein-rutmannonlinearnoteoperatorstheoremabstractapplybanach
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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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