Blow-up Solutions of Logistic Equations with Absorption: Uniqueness and Asymptotics

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Cirstea, Florica-Corina and Radulescu, Vicentiu D (2002) Blow-up Solutions of Logistic Equations with Absorption: Uniqueness and Asymptotics. RGMIA research report collection, 6 (1).

Abstract

We study the uniqueness and expansion properties of the positive blow-up boundary solution of the logistic equation △u + au = b(x)f(u) in a smooth bounded domain Ω. The absorbtion term f is a positive function satisfying the Keller–Osserman condition and such that the mapping f(u)/u is increasing on (0,+∞), b is nonnegative, while the values of the real parameter a are related to an appropriate semilinear eigenvalue problem. Our analysis is based on the Karamata regular variation theory.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17801
Subjects Historical > FOR Classification > 0102 Applied Mathematics
Historical > FOR Classification > 0103 Numerical and Computational Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords logistic equation, boundary blow-up, uniqueness, Karamata theory, Keller–Osserman condition, population dynamics
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