Asymptotic behaviour of principal eigenvalues for a class of cooperative systems

DOI10.1016/j.jde.2007.10.004zbMath1138.35071OpenAlexW2087224353MaRDI QIDQ2475090

Julián López-Gómez, Pablo Álvarez-Caudevilla

Publication date: 10 March 2008

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2007.10.004

zbMATH Keywords

asymptotic behaviourcooperative systemsprincipal eigenvaluesdegenerate problemlower estimates through the Lebesgue measure

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Asymptotic distributions of eigenvalues in context of PDEs (35P20)

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Cites Work

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• Semiclassical analysis of low lying eigenvalues. II: Tunneling
• Strong positivity in \(C(\bar\Omega)\) for elliptic systems
• Metasolutions in cooperative systems
• The maximum principle for cooperative weakly coupled elliptic systems and some applications
• Perturbation theory for linear operators.
• The maximum principle and the existence of principal eigenvalues for some linear weighted boundary value problems
• Uniqueness and existence of positive solutions for, weakly coupled general sublinear systems
• Semiclassical analysis of general second order elliptic operators on bounded domains
• Semiclassical analysis for highly degenerate potentials
• Continuous dependence of eigenvalues on the domain

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