Solutions with boundary layer and positive peak for an elliptic Dirichlet problem
Published online by Cambridge University Press: 12 July 2007
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.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 134 , Issue 3 , June 2004 , pp. 515 - 536
- Copyright
- Copyright © Royal Society of Edinburgh 2004
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