Lower semicontinuity in spaces of weakly differentiable functions
Contact the author: Please use for correspondence this email.
Submission date: 25. Jan. 1999
published in: Mathematische Annalen, 313 (1999) 4, p. 653-710
DOI number (of the published article): 10.1007/s002080050277
MSC-Numbers: 49J45, 28E99, 52A99
Keywords and phrases: lower semicontinuity, quasiconvexity, young measure, sobolev space with respect to a measure, gsbv
Download full preprint: PDF (657 kB), PS ziped (270 kB)
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.