Dancer, Edward Norman; Yan, Shusen

Author(s)

Dancer, Edward Norman

Yan, Shusen

Publication Date

2004

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).

Citation

Calculus of Variations and Partial Differential Equations, 20(1), p. 93-118

ISSN

1432-0835

0944-2669

Link

https://hdl.handle.net/1959.11/3788

Publisher

Springer

Title

Construction of various types of solutions for an elliptic problem

Type of document

Journal Article

Entity Type

Publication

Author(s)	Dancer, Edward Norman Yan, Shusen
Publication Date	2004
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).
Citation	Calculus of Variations and Partial Differential Equations, 20(1), p. 93-118
ISSN	1432-0835 0944-2669
Link	https://hdl.handle.net/1959.11/3788
Publisher	Springer
Title	Construction of various types of solutions for an elliptic problem
Type of document	Journal Article
Entity Type	Publication

Construction of various types of solutions for an elliptic problem

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