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

Author(s)
Li, Gongbao
Yang, Jianfu
Yan, Shusen
Publication Date
2004
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.
Citation
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, 134A(3), p. 515-536
ISSN
1473-7124
0308-2105
Link
Publisher
The RSE Scotland Foundation
Title
Solutions with boundary layer and positive peak for an elliptic Dirichlet problem
Type of document
Journal Article
Entity Type
Publication

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