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Relaxation of quasi-convex integrals of arbitrary order

Published online by Cambridge University Press:  14 November 2011

Micol Amar  and
Virginia De Cicco
Micol Amar
Affiliation:
Laboratoire d'Analyse Numerique Tour 55-65, Universite de Paris VI, 4, Place Jussieu, F-75252 Paris Cedex 05, France
Virginia De Cicco
Affiliation:
Laboratoire d'Analyse Numerique Tour 55-65, Universite de Paris VI, 4, Place Jussieu, F-75252 Paris Cedex 05, France
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Extract

An integral representation result is given for the lower semicontinuous envelope of the functional ʃΩf(∇ku) dx on the space BVk(Ω:ℝm) of the integrable functions, whose the f-th derivative in the sense of distributions is a Radon measure with bounded total variation.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 124 , Issue 5 , 1994 , pp. 927 - 946
Copyright
Copyright © Royal Society of Edinburgh 1994

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