On the spectral theory of positive operators and PDE applications

DOI10.3934/dcds.2020054zbMath1481.47055OpenAlexW2980317410MaRDI QIDQ2309137

Yanyan Li

Publication date: 30 March 2020

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2020054

zbMATH Keywords

principal eigenvalueKrein-Rutman theoremmin-max and max-min characterizationsreducible operatorsupper and lower spectral radii

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Eigenvalue problems for linear operators (47A75) Positive linear operators and order-bounded operators (47B65) Variational methods for eigenvalues of operators (49R05)

Related Items (5)

Large deviations, central limit, and dynamical phase transitions in the atom maser ⋮ The principal eigenvalue of some \(n\)th order linear boundary value problems ⋮ Multiple principal eigenvalues for indefinite quasilinear problems ⋮ One Limit Theorem for Branching Random Walks ⋮ Principal spectral theory and variational characterizations for cooperative systems with nonlocal and coupled diffusion

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotic behavior of the principal eigenvalue for cooperative elliptic systems and applications
• Extensions of Perron-Frobenius theory
• A nonlinear Krein Rutman theorem
• On eigenvalue problems arising from nonlocal diffusion models
• Generalizing the Kreĭn-Rutman theorem, measures of noncompactness and the fixed point index
• Strong positivity in \(C(\bar\Omega)\) for elliptic systems
• On the ideal structure of positive, eventually compact linear operators on Banach lattices
• Liouville-type results for semilinear elliptic equations in unbounded domains
• On global bifurcation for quasilinear elliptic systems on bounded domains
• Irreducible compact operators
• A theorem on elliptic differential inequalities with an application to gradient bounds
• On principal \(T\)-bands in a Banach lattice
• Perturbation theory for linear operators.
• Hopf's lemma and anti-maximum principle in general domains
• Nonlinear extensions of the Perron-Frobenius theorem and the Krein-Rutman theorem
• Some spectral properties of positive linear operators
• Alcuni risultati di teoria spettrale per i problemi ai limiti lineari ellittici
• Einschliessungssatz für die charakteristischen Zahlen von Matrizen
• Unzerlegbare, nicht negative Matrizen
• A dynamical systems proof of the Krein–Rutman Theorem and an extension of the Perron Theorem
• The principal eigenvalue and maximum principle for second‐order elliptic operators in general domains
• Spectral Radii and Collatz–Wielandt Numbers for Homogeneous Order-preserving Maps and the Monotone Companion Norm
• Generalizations and Properties of the Principal Eigenvalue of Elliptic Operators in Unbounded Domains
• ELLIPTIC PROBLEMS WITH A PARAMETER AND PARABOLIC PROBLEMS OF GENERAL TYPE
• On the spectrum of general second order operators
• Frobenius Theory of Positive Operators: Comparison Theorems and Applications

This page was built for publication: On the spectral theory of positive operators and PDE applications