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Solutions with multiple peaks for nonlinear elliptic equations

Published online by Cambridge University Press:  14 November 2011

Daomin Cao ,
Ezzat S. Noussair  and
Shusen Yan
Daomin Cao
Affiliation:
Young Scientist Laboratory of Mathematical Physics, Wuhan Institute of Mathematical Sciences, The Chinese Academy of Sciences, PO Box 71007, Wuhan 430071, China
Ezzat S. Noussair
Affiliation:
School of Mathematics, University of New South Wales, Sydney 2052 NSW, Australia
Shusen Yan
Affiliation:
Department of Applied Mathematics, South China University of Technology, Guangzhou 510641, China
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Abstract

Solutions with peaks near the critical points of Q(x) are constructed for the problem

We establish the existence of 2k −1 positive solutions when Q(x) has k non-degenerate critical points in ℝN

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 129 , Issue 2 , 1999 , pp. 235 - 264
Copyright
Copyright © Royal Society of Edinburgh 1999

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