Title

Solutions with boundary layer and positive peak for an elliptic Dirichlet problem

Fields of Research (FoR) 2008:
010109 Ordinary Differential Equations, Difference Equations and Dynamical Systems
Author(s)
Li, Gongbao
Yang, Jianfu
Yan, Shusen 
Publication Date
2004
Socio-Economic Objective (SEO) 2008
970101 Expanding Knowledge in the Mathematical Sciences
DOI
10.1017/S0308210500003322
Abstract
In this paper, we study existence of solutions with boundary layer and peaks for an elliptic problem. We prove that the problem has a mountain-pass-type solution, which has a boundary layer and a single peak near the boundary. Moreover, we also study the existence of solutions with interior peak.
Publication Type
Journal Article
Source of Publication
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, 134A(3), p. 515-536
Publisher
The RSE Scotland Foundation
Place of Publication
United Kingdom
ISSN
1473-7124
0308-2105
Peer Reviewed
Yes
HERDC Category Description
C1 Refereed Article in a Scholarly Journal
Peer Reviewed
Yes
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Permanent link to this record
https://hdl.handle.net/1959.11/3611