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A variational approach for a class of singular perturbation problems and applications

Published online by Cambridge University Press:  14 November 2011

Nicholas D. Alikakos  and
Henry C. Simpson
Nicholas D. Alikakos
Affiliation:
Mathematics Department, University of Tennessee, Knoxville, TN 37996, U.S.A.; Lefschetz Center for Dynamical Systems, Division of Applied Mathematics, Brown University, Providence, RI 02912, U.S.A.
Henry C. Simpson
Affiliation:
Mathematics Department, University of Tennessee, Knoxville, TN 37996, U.S.A.
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Synopsis

We study the limit as ε → 0 of global minimisers of functionals of the type

where Ω is an annul us or a ball in ℝn.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 107 , Issue 1-2 , 1987 , pp. 27 - 42
Copyright
Copyright © Royal Society of Edinburgh 1987

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