0394748 20240103202805.820130819235959.9 000322458300004 84881104802 10.1051/cocv/2012028 22 s. P cav_un_epca*02578551292-8119193 (2013)679-700EDP Sciences bounded sequences of gradients concentrations oscillations cav_un_auth*0101142 Kružík Martin Matematická teorie rozhodování Department of Decision Making Theory MTR MTR UTIA-B Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2013/MTR/kruzik-0394748.pdf GAP201/10/0357 GA ČR cav_un_auth*0263489 GAP201/12/0671 GA ČR CZ cav_un_auth*0289475 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. 2014 BA 1 4 A 4a 20231122135723.8 RVO:67985556 http://hdl.handle.net/11104/0222932 AUTOMATIONCONTROLSYSTEMS|MATHEMATICSAPPLIED 1.006 1.085 Q1 80.011 Q1 Q2 2013 Soubory v repozitáři: kruzik-0394748.pdf 84881104802 SCOPUS 000322458300004 WOS cav_un_epca*0257855 ESAIM-Control Optimisation and Calculus of Variations 1292-8119 1262-3377 Roč. 19 č. 3 2013 679 700 EDP Sciences