Scalar Steady-State in Population Biology as a Nonlinear Eigenvalue Problem

C. A. Coimbra
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C. A. Coimbra: National Laboratory for Scientific Computation

A chapter in Biomathematics and Related Computational Problems, 1988, pp 429-438 from Springer

Abstract: Abstract In this paper we employ the critical point theory to study a scalar steady-state equation occurring in population biology. We treat the equation as an isoperimetric nonlinear eigenvalue problem. We obtain an infinite sequence of positive eigenfunctions by imposing a Z2-symmetry and using an homotopy argument. We also use a Pohozaev type of equality to obtain a necessary and sufficient condition for an eigen function to be related to a positive eigenvalue.

Keywords: Positive Eigenvalue; Population Biology; Predation Potential; Critical Point Theory; Nonlinear Eigenvalue Problem (search for similar items in EconPapers)
Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-2975-3_38

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DOI: 10.1007/978-94-009-2975-3_38

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