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Relaxation of multiple integrals in the space BV(Ω, RP)

Published online by Cambridge University Press:  14 November 2011

Irene Fonseca  and
Piotr Rybka
Irene Fonseca
Affiliation:
Department of Mathematics, Carnegie Mellon University, Pittsburgh, PA 15213, U.S.A.
Piotr Rybka
Affiliation:
Department of Mathematics, Carnegie Mellon University, Pittsburgh, PA 15213, U.S.A.
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Synopsis

A characterisation of the surface energy density for the relaxation in V(Ω; Rp) of the functional

is obtained. A lemma of De Giorgi is used to modify a sequence near the boundary without increasing its total energy.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 121 , Issue 3-4 , 1992 , pp. 321 - 348
Copyright
Copyright © Royal Society of Edinburgh 1992

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