Vanishing property of principal eigenfunction for cooperative elliptic systems

DOI10.3934/dcdsb.2024056MaRDI QIDQ6614249

Suying Liu, Xue-Li Bai, Zi-Yang Chen, Yu-Meng Yin

Publication date: 7 October 2024

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

zbMATH Keywords

asymptotic behaviorcomparison principleprincipal eigenfunctionvanishing propertycooperative elliptic system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) Estimates of eigenvalues in context of PDEs (35P15) Boundary value problems for second-order elliptic systems (35J57)

Cites Work

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• Asymptotic behavior of the principal eigenvalue for cooperative elliptic systems and applications
• On the principal eigenvalue of linear cooperating elliptic systems with small diffusion
• Asymptotic behavior of the principal eigenvalue for cooperative periodic-parabolic systems and applications
• Principal eigenvalue and eigenfunctions of an elliptic operator with large advection and its application to a competition model
• Effects of diffusion and advection on the smallest eigenvalue of an elliptic operator and their applications
• Asymptotic Behavior of the Principal Eigenvalue of a Linear Second Order Elliptic Operator with Small/Large Diffusion Coefficient
• Singular perturbation for the first eigenfunction and blow-up analysis
• Introduction to Reaction-Diffusion Equations

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