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Bibliografie

Journal Article

Quasiconvexity at the boundary and concentration effects generated by gradients

Kružík Martin

: ESAIM-Control Optimisation and Calculus of Variations vol.19, 3 (2013), p. 679-700

: GAP201/10/0357, GA ČR, GAP201/12/0671, GA ČR

: bounded sequences of gradients, concentrations, oscillations

: 10.1051/cocv/2012028

: http://library.utia.cas.cz/separaty/2013/MTR/kruzik-0394748.pdf

(eng): 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 the space of matrices by the sphere. We show that this characterization is closely related to the notion of quasiconvexity at the boundary introduced by Ball and Marsden. As a consequence we get new results on weak sequential continuity of certain integral functionals.

: BA

07.01.2019 - 08:39