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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

E. N. Dancer  and
Juncheng Wei
E. N. Dancer
Affiliation:
School of Mathematics and Statistics, University of Sydney, Sydney, Australia e-mail: dancer_n@maths.su.oz.au
Juncheng Wei
Affiliation:
Department of Mathematics, Chinese University of Hong Kong, Shatin, Hong Kong e-mail: wei@math.cuhk.kh
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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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