Peak Solutions for the Dirichlet Problem of an Elliptic System

Title
Peak Solutions for the Dirichlet Problem of an Elliptic System
Publication Date
2009
Author(s)
Dancer, Edward N
Hilhorst, Danielle
Yan, Shusen
Type of document
Journal Article
Language
en
Entity Type
Publication
Publisher
AIMS Press
Place of publication
United States of America
DOI
10.3934/dcds.2009.24.731
UNE publication id
une:5735
Abstract
We study a system of elliptic equations arising from biology with a chemotaxis term. This system is non-variational. Using a reduction argument, we show that the system has solutions with peaks near the boundary and inside the domain.
Link
Citation
Discrete and Continuous Dynamical Systems. Series A, 24(3), p. 731-761
ISSN
1553-5231
1078-0947
Start page
731
End page
761

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