ON THE INTERIOR SPIRE LAYER SOLUTIONS TO A SINGULARLY PERTURBED NEUMANN PROBLEM

Authors
WEI JC
Citation
Jc. Wei, ON THE INTERIOR SPIRE LAYER SOLUTIONS TO A SINGULARLY PERTURBED NEUMANN PROBLEM, Tohoku Mathematical Journal, 50(2), 1998, pp. 159-178
Citations number
22
Categorie Soggetti
Mathematics,Mathematics
Journal title
Tohoku Mathematical Journal → ACNP
ISSN journal
00408735
Volume
50
Issue
2
Year of publication
1998
Pages
159 - 178
Database
ISI
SICI code
0040-8735(1998)50:2<159:OTISLS>2.0.ZU;2-2
Abstract
In this paper, we construct interior spike layer solutions for a class of semilinear elliptic Neumann problems which arise as stationary sol utions of Keller-Segel model in chemotaxis and also as limiting equati ons for the Gierer-Meinhardt system in biological pattern formation. W e also classify the locations of single interior peaks. We show exactl y how the geometry of the domain affects the spike solutions.