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Symmetric solutions for a Neumann problem involving critical exponent

Published online by Cambridge University Press:  12 July 2007

Daomin Cao ,
E. S. Noussair  and
Shusen Yan
Daomin Cao
Affiliation:
Institute of Applied Mathematics, Chinese Academic of Sciences, Beijing 100080, People's Republic of China
E. S. Noussair
Affiliation:
School of Mathematics, University of New South Wales, Sydney, NSW 2052, Australia
Shusen Yan
Affiliation:
School of Mathematics and Statistics, University of Sydney, NSW 2006, Australia
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Abstract

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In this paper, we construct three types of symmetric peaked solutions for a Neumann problem involving critical Sobolev exponent: the interior peaked solution, the boundary peaked solution and the interior-boundary peaked solution.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 131 , Issue 5 , October 2001 , pp. 1039 - 1064
Copyright
Copyright © Royal Society of Edinburgh 2001