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On the profile of solutions with two sharp layers to a singularly perturbed semilinear Dirichlet problem
Published online by Cambridge University Press: 14 November 2011
Abstract
We discuss the existence of positive solutions of some singularity perturbed elliptic equations on convex domains with nonlinearity changing sign. In particular, we obtain solutions with both a boundary layer and a sharp interior peak.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 127 , Issue 4 , 1997 , pp. 691 - 701
- Copyright
- Copyright © Royal Society of Edinburgh 1997
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