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MiS Preprint

Lower semicontinuity in spaces of weakly differentiable functions

Jan Kristensen


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.

MSC Codes:
49J45, 28E99, 52A99
lower semicontinuity, quasiconvexity, young measure, sobolev space with respect to a measure, gsbv

Related publications

1999 Repository Open Access
Jan Kristensen

Lower semicontinuity in spaces of weakly differentiable functions

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