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Relaxation of convex functionals: the gap problem

✍ Scribed by E. Acerbi; G. Bouchitté; I. Fonseca

Book ID
104324234
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
225 KB
Volume
20
Category
Article
ISSN
0294-1449

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✦ Synopsis

Nous montrons que l'énergie relaxée

admet la représentation intégrale

lorsque f est un intégrande convexe de Carathéodory vérifiant une condition de croissance non standard de type "α-β" avec β ∈ [α, Nα/(N -1)). Des conditions suffisantes assurant que µ s (u, •) = 0 sont proposées ainsi qu'un exemple montrant que la représentation obtenue ne s'applique pas au cas quasiconvexe.

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