bibtype	J - Journal Article
ARLID	0470210
utime	20240103213511.7
mtime	20170201235959.9
SCOPUS	85013656827
WOS	000391557700003
DOI	10.1515/acv-2015-0009
title (primary) (eng)	A-quasiconvexity at the boundary and weak lower semicontinuity of integral functionals
specification	page_count 19 s. media_type P
serial	ARLID cav_un_epca*0361697 ISSN 1864-8258 title Advances in Calculus of Variations volume_id 10 volume 1 (2017) page_num 49-67
keyword	concentrations
keyword	oscillations
keyword	A-quasiconvexity
author (primary)	ARLID cav_un_auth*0345485 share 25 name1 Krämer name2 J. country DE
author	ARLID cav_un_auth*0345486 share 25 name1 Krömer name2 S. country DE
author	ARLID cav_un_auth*0101142 full_dept (cz) Matematická teorie rozhodování full_dept Department of Decision Making Theory department (cz) MTR department MTR full_dept Department of Decision Making Theory share 25 name1 Kružík name2 Martin institution UTIA-B garant K fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
author	ARLID cav_un_auth*0263956 name1 Pathó name2 G. country CZ
source	url Http://library.utia.cas.cz/separaty/2017/MTR/kruzik-0470210.pdf
cas_special	project ARLID cav_un_auth*0342255 project_id GAP201/10/0357 agency GA ČR project ARLID cav_un_auth*0342256 project_id GAP107/12/0121 agency GA ČR country CZ project ARLID cav_un_auth*0342257 project_id CZ01-DE03/2013-2014/DAAD-56269992 agency GA AV ČR country CZ abstract (eng) We state necessary and sufficient conditions for weak lower semicontinuity of integral functionals of the form u bar right arrow integral(Omega) h(x, u(x)) dx, where h is continuous and possesses a positively p-homogeneous recession function, p > 1, and u is an element of L-p(Omega, R-m) lives in the kernel of a constant-rank first-order differential operator A which admits an extension property. In the special case A = curl, apart from the quasiconvexity of the integrand, the recession function's quasiconvexity at the boundary in the sense of Ball and Marsden is known to play a crucial role. Our newly defined notions of A-quasiconvexity at the boundary, generalize this result. Moreover, we give an equivalent condition for the weak lower semicontinuity of the above functional along sequences weakly converging in L-p(Omega, R-m) and approaching the kernel of A even if A does not have the extension property. RIV BA FORD0 10000 FORD1 10100 FORD2 10101 reportyear 2018 num_of_auth 4 mrcbC52 4 A hod 4ah 20231122142230.6 inst_support RVO:67985556 permalink http://hdl.handle.net/11104/0270855 mrcbC64 1 Department of Decision Making Theory UTIA-B 10102 MATHEMATICS, APPLIED confidential S mrcbC86 2 Article Mathematics Applied|Mathematics mrcbC86 1 Article Mathematics Applied|Mathematics mrcbC86 1 Article Mathematics Applied|Mathematics mrcbT16-e MATHEMATICS|MATHEMATICSAPPLIED mrcbT16-j 1.554 mrcbT16-s 2.045 mrcbT16-B 90.196 mrcbT16-D Q1* mrcbT16-E Q1* arlyear 2017 mrcbTft \nSoubory v repozitáři: kruzik-0470210.pdf mrcbU14 85013656827 SCOPUS mrcbU24 PUBMED mrcbU34 000391557700003 WOS mrcbU63 cav_un_epca*0361697 Advances in Calculus of Variations 1864-8258 1864-8266 Roč. 10 č. 1 2017 49 67