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arxiv: 1009.0795 · v2 · pith:E5X4UUO7new · submitted 2010-09-04 · 🧮 math.AP · math.FA

Quasiconvexity at the boundary and concentration effects generated by gradients

classification 🧮 math.AP math.FA
keywords measuresboundarygeneratedgradientscasecharacterizecompactificationconcentration
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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 $\R^{m\times n}$ by the sphere.

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