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A new type of concentration solutions for a singularly perturbed elliptic problem
Author(s):
E.
N.
Dancer;
Shusen
Yan
Journal:
Trans. Amer. Math. Soc.
359
(2007),
1765-1790.
MSC (2000):
Primary 35J65
Posted:
November 22, 2006
MathSciNet review:
2272148
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Additional information
Abstract:
We prove the existence of positive solutions concentrating on some higher dimensional manifolds near the boundary of the domain for a nonlinear singularly perturbed elliptic problem.
References:
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Additional Information:
E.
N.
Dancer
Affiliation:
School of Mathematics and Statistics, University of Sydney, NSW 2006, Australia
Email:
normd@maths.usyd.edu.au
Shusen
Yan
Affiliation:
School of Mathematics, Statistics and Computer Science, The University of New England, Armidale, NSW 2351, Australia
Email:
syan@turing.une.edu.au
DOI:
10.1090/S0002-9947-06-04386-8
PII:
S 0002-9947(06)04386-8
Received by editor(s):
January 27, 2005
Posted:
November 22, 2006
Additional Notes:
The work of the first author was partially supported by ARC
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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