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Concentration of solutions for the Yamabe problem on half-spaces

Published online by Cambridge University Press:  30 January 2013

Daomin Cao  and
Shuangjie Peng
Daomin Cao
Affiliation:
Institute of Applied Mathematics, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing 100190, People's Republic of China
Shuangjie Peng
Affiliation:
School of Mathematics and Statistics, Central China Normal University, Wuhan 430079, People's Republic of China ([email protected])
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Abstract

By variational methods, for a type of Yamabe problem with boundary, we construct multi-peak solutions whose maxima tend to the boundary as the parameter tends to 0+ under certain assumptions. We also obtain the asymptotic behaviours of the solutions.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 143 , Issue 1 , February 2013 , pp. 73 - 99
Copyright
Copyright © Royal Society of Edinburgh 2013

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