A new type of concentration solutions for a singularly perturbed elliptic problem

Authors:
E. N. Dancer and Shusen Yan

Journal:
Trans. Amer. Math. Soc. **359** (2007), 1765-1790

MSC (2000):
Primary 35J65

DOI:
https://doi.org/10.1090/S0002-9947-06-04386-8

Published electronically:
November 22, 2006

MathSciNet review:
2272148

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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:
https://doi.org/10.1090/S0002-9947-06-04386-8

Received by editor(s):
January 27, 2005

Published electronically:
November 22, 2006

Additional Notes:
The work of the first author was partially supported by ARC

Article copyright:
© Copyright 2006
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.