bibtype J - Journal Article
ARLID 0410517
utime 20240103182219.6
mtime 20060210235959.9
title (primary) (eng) Nonexistence of solutions in nonconvex multidimensional variational problems
specification
page_count 10 s.
serial
ARLID cav_un_epca*0257905
ISSN 0944-6532
title Journal of Convex Analysis
volume_id 7
volume 99 (2000)
page_num 427-436
publisher
name Heldermann Verlag
author (primary)
ARLID cav_un_auth*0101187
name1 Roubíček
name2 Tomáš
institution UTIA-B
full_dept Department of Decision Making Theory
fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
author
ARLID cav_un_auth*0045841
name1 Šverák
name2 V.
country US
COSATI 12A
cas_special
research AV0Z1075907
abstract (eng) 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.
RIV BA
department MTR
permalink http://hdl.handle.net/11104/0130606
ID_orig UTIA-B 20000233
arlyear 2000
mrcbU63 cav_un_epca*0257905 Journal of Convex Analysis 0944-6532 0944-6532 Roč. 7 č. 99 2000 427 436 Heldermann Verlag