Construction of various types of solutions for an elliptic problem

Title
Construction of various types of solutions for an elliptic problem
Publication Date
2004
Author(s)
Dancer, Edward Norman
Yan, Shusen
Type of document
Journal Article
Language
en
Entity Type
Publication
Publisher
Springer
Place of publication
Germany
DOI
10.1007/s00526-003-0229-6
UNE publication id
une:3882
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).
Link
link
Citation
Calculus of Variations and Partial Differential Equations, 20(1), p. 93-118
ISSN
1432-0835
0944-2669
Start page
93
End page
118

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