Peak Solutions for the Dirichlet Problem of an Elliptic System

Edward N Dancer; Danielle Hilhorst; Shusen Yan

doi:10.3934/dcds.2009.24.731

Peak Solutions for the Dirichlet Problem of an Elliptic System

Edward N Dancer
, Danielle Hilhorst
, Shusen Yan

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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.

Original language	English
Pages (from-to)	731-761
Journal	Discrete and Continuous Dynamical Systems. Series A
Volume	24
Issue number	3
DOIs	https://doi.org/10.3934/dcds.2009.24.731
Publication status	Published - 2009

Keywords

Partial Differential Equations

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title = "Peak Solutions for the Dirichlet Problem of an Elliptic System",

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.",

keywords = "Partial Differential Equations",

author = "Dancer, \{Edward N\} and Danielle Hilhorst and Shusen Yan",

year = "2009",

doi = "10.3934/dcds.2009.24.731",

language = "English",

volume = "24",

pages = "731--761",

journal = "Discrete and Continuous Dynamical Systems. Series A",

issn = "1078-0947",

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T1 - Peak Solutions for the Dirichlet Problem of an Elliptic System

AU - Dancer, Edward N

AU - Hilhorst, Danielle

AU - Yan, Shusen

PY - 2009

Y1 - 2009

N2 - 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.

AB - 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.

KW - Partial Differential Equations

U2 - 10.3934/dcds.2009.24.731

DO - 10.3934/dcds.2009.24.731

M3 - Article

SN - 1078-0947

VL - 24

SP - 731

EP - 761

JO - Discrete and Continuous Dynamical Systems. Series A

JF - Discrete and Continuous Dynamical Systems. Series A

IS - 3

ER -

Peak Solutions for the Dirichlet Problem of an Elliptic System

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