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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
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Abstract | References | Similar articles | 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.

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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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