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Title: Construction of various types of solutions for an elliptic problem
Contributor(s): Dancer, Edward Norman  (author); Yan, Shusen  (author)
Publication Date: 2004
DOI: 10.1007/s00526-003-0229-6
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Abstract: In this paper, we consider the following elliptic problem... where a(x) is a continuous function satisfying 0 < a(x)<1 for x∈...,Ω is a bounded domain in R^N with smooth boundary, ε > 0 is a small number. A solution of (1.1) can be interpreted as a steady state solution of the corresponding problem: ut=ε²Δu+f(x,u), where f(x,t)=t(t-a(x))(1-t), which arises in a number of places such as population genetics [24,33]. The readers can refer to [22] for more background material for problem (1.1).
Publication Type: Journal Article
Source of Publication: Calculus of Variations and Partial Differential Equations, 20(1), p. 93-118
Publisher: Springer
Place of Publication: Germany
ISSN: 1432-0835
Field of Research (FOR): 010109 Ordinary Differential Equations, Difference Equations and Dynamical Systems
Socio-Economic Outcome Codes: 970101 Expanding Knowledge in the Mathematical Sciences
Peer Reviewed: Yes
HERDC Category Description: C1 Refereed Article in a Scholarly Journal
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