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MiS Preprint
7/1999

Lower semicontinuity in spaces of weakly differentiable functions

Jan Kristensen

Abstract

Lower semicontinuity results for multiple integrals with quasiconvex integrand are obtained in the setting of Sobolev spaces with respect to a measure and in the setting of generalised special functions of bounded variation. A significant feature of the proofs is the use of Young measures.

Received:
Jan 25, 1999
Published:
Jan 25, 1999
MSC Codes:
49J45, 28E99, 52A99
Keywords:
lower semicontinuity, quasiconvexity, young measure, sobolev space with respect to a measure, gsbv

Related publications

inJournal
1999 Repository Open Access
Jan Kristensen

Lower semicontinuity in spaces of weakly differentiable functions

In: Mathematische Annalen, 313 (1999) 4, pp. 653-710