A nonlinear Krein Rutman theorem
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Publication:473039
DOI10.1007/s11424-009-9186-2zbMath1300.47076OpenAlexW2123825790MaRDI QIDQ473039
Publication date: 21 November 2014
Published in: Journal of Systems Science and Complexity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11424-009-9186-2
Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Perron-Frobenius theorem for nonnegative tensors
- Remarks on \(u_{0}\)-positive operators
- Regularity for a more general class of quasilinear equations
- Eigenvalues for a class of homogeneous cone maps arising from max-plus operators
- A strong maximum principle for some quasilinear elliptic equations
- A note on a nonlinear Krein-Rutman theorem
- Eigenvalues of a real supersymmetric tensor
- Einschliessungssatz für die charakteristischen Zahlen von Matrizen
- C1 + α local regularity of weak solutions of degenerate elliptic equations
- Eigenvectors of Order-Preserving Linear Operators
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