Lower semicontinuity and relaxation results in BV for integral functionals with BV integrands

sequence of all their minors converges to a measure ~c in the sense of Radon measures, then u is of locally bounded variation and the absolutely.. continuous part

the details below) independent of x, and thus we can operate with a sequence of uniformly continuous functions. In this particular case we obtain the

Let 1,: 5 -~ JR.2 be a system of curves of class H 2,p without crossings, satisfying the finiteness property, having all branches with multiplicity. one and

In order to obtain the proof of Theorem 1.1 from Lemma 1.2, we use a technique originating in work by Foneseca and M¨ uller, which was further developed by Fonseca and Marcellini

On a technical level, complications in the proof come from the fact that on a domain with infinite measure, functions with merely bounded gradient in general do not have

An explicit characterization of Young measures generated by sequences fulfilling Au k = 0 (A-free sequences) was completely given in [15], following earlier works by Kinderlehrer

However, in the first part of this paper we prove that given a H N −1 -almost everywhere approximately continuous BV-function, its sections keep the same property, as long as we

More precisely, for fully general µ , a notion of quasiconvexity for f along the tangent bundle to µ , turns out to be necessary for lower semicontinuity; the sufficiency of