Quasiconvexity at the boundary and concentration effects generated by gradients

preprint2012arXivOpen access

Abstract

We characterize generalized Young measures, the so-called DiPerna-Majda measures which are generated by sequences of gradients. In particular, we precisely describe these measures at the boundary of the domain in the case of the compactification of Rm×n\R^{m\times n} by the sphere.

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