Quasiconvexity at the boundary and concentration effects generated by gradients
Martin Kružík (2013)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
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 by the sphere. We show that this characterization is closely related to the notion of quasiconvexity at the boundary introduced by Ball and Marsden [J.M. Ball and J. Marsden, 86 (1984) 251–277]. As a consequence we get new results on weak...