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Anisotropic singular perturbations—the vectorial case

Published online by Cambridge University Press:  14 November 2011

Ana Cristina Barroso  and
Irene Fonseca
Ana Cristina Barroso
Affiliation:
Department of Mathematics, Carnegie Mellon University, Pittsburgh, PA 15213, U.S.A.
Irene Fonseca
Affiliation:
Department of Mathematics, Carnegie Mellon University, Pittsburgh, PA 15213, U.S.A.
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Abstract

We obtain the Γ(L1(Ώ))-limit of the sequence

where Eε is the family of anisotropic perturbations

of the nonconvex functional of vector-valued functions

The proof relies on the blow-up argument introduced by Fonseca and Müller.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 124 , Issue 3 , 1994 , pp. 527 - 571
Copyright
Copyright © Royal Society of Edinburgh 1994

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