0410517 20240103182219.620060210235959.9 10 s. cav_un_epca*02579050944-6532799 (2000)427-436Heldermann Verlag cav_un_auth*0101187 Roubíček Tomáš UTIA-B Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0045841 Šverák V. US 12A AV0Z1075907 In the scalar n-dimensional situation, the extreme points in the set of certain gradient Lp-Young measures are studied. For n=1, such Young measures must be composed from Diracs, while for n>1 there are non-Dirac extreme points among them, for n>2, some are even weakly* continuous. This is used to construct nontrivial examples of nonexistence of solutions of the minimization-type variational problems. BA MTR http://hdl.handle.net/11104/0130606 UTIA-B 20000233 2000 cav_un_epca*0257905 Journal of Convex Analysis 0944-6532 0944-6532 Roč. 7 č. 99 2000 427 436 Heldermann Verlag