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Quasiconvexity at the boundary and concentration effects generated by gradients

Quasiconvexity at the boundary and concentration effects generated by gradients

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 by the sphere. We show that this characterization is closely related …