Blowing-up properties of the positive principal eigenvalue for indefinite Robin-type boundary conditions

DOI10.1216/RMJ-2010-40-2-673zbMath1198.35163MaRDI QIDQ976563

Kenichiro Umezu

Publication date: 14 June 2010

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

population dynamicsindefinite weightpositive principal eigenvalueRobin-type boundary conditionblowing-up behavior

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Estimates of eigenvalues in context of PDEs (35P15) Population dynamics (general) (92D25) Variational methods for second-order elliptic equations (35J20)

Related Items (2)

Nonnegative solutions of an indefinite sublinear Robin problem. I: positivity, exact multiplicity, and existence of a subcontinuum ⋮ Principal eigenvalues for generalised indefinite Robin problems

Cites Work

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• The effects of spatial heterogeneity in population dynamics
• On the existence of positive eigenfunctions for an eigenvalue problem with indefinite weight function
• On eigenvalue problems with Robin type boundary conditions having indefinite coefficients
• Diffusive logistic equations with indefinite weights: population models in disrupted environments
• On principal eigenvalues for boundary value problems with indefinite weight and Robin boundary conditions
• Spatial Ecology via Reaction‐Diffusion Equations
• Blowing-up of principal eigenvalues for Neumann boundary conditions

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