MiS Preprint Repository
We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
Lower semicontinuity in spaces of weakly differentiable functions
Jan KristensenAbstract
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:
- 25.01.99
- Published:
- 25.01.99
- MSC Codes:
- 49J45, 28E99, 52A99
- Keywords:
- lower semicontinuity, quasiconvexity, young measure, sobolev space with respect to a measure, gsbv