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

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).

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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
Uncontrolled Keywords: logistic equation, boundary blow-up, uniqueness, Karamata theory, Keller–Osserman condition, population dynamics
Subjects: FOR Classification > 0102 Applied Mathematics
FOR Classification > 0103 Numerical and Computational Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 30 Aug 2012 03:29
Last Modified: 23 May 2013 16:52
URI: http://vuir.vu.edu.au/id/eprint/17801
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