0470210 20240103213511.720170201235959.9 85013656827 000391557700003 10.1515/acv-2015-0009 19 s. P cav_un_epca*03616971864-8258101 (2017)49-67 concentrations oscillations A-quasiconvexity cav_un_auth*0345485 25 Krämer J. DE cav_un_auth*0345486 25 Krömer S. DE cav_un_auth*0101142 Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory 25 Kružík Martin UTIA-B K Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0263956 Pathó G. CZ Http://library.utia.cas.cz/separaty/2017/MTR/kruzik-0470210.pdf cav_un_auth*0342255 GAP201/10/0357 GA ČR cav_un_auth*0342256 GAP107/12/0121 GA ČR CZ cav_un_auth*0342257 CZ01-DE03/2013-2014/DAAD-56269992 GA AV ČR CZ 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. BA 10000 10100 10101 2018 4 4 A hod 4ah 20231122142230.6 RVO:67985556 http://hdl.handle.net/11104/0270855 1 Department of Decision Making Theory UTIA-B 10102 MATHEMATICS, APPLIED S 2 Article Mathematics Applied|Mathematics 1 Article Mathematics Applied|Mathematics 1 Article Mathematics Applied|Mathematics MATHEMATICS.APPLIED|MATHEMATICS 1.241 0.556 3.8 0.00178 1.554 176 2.045 1.649 18 Q1 90.196 87.1 Q1* Q1* 2.16 Q1 93.065 2017 Soubory v repozitáři: kruzik-0470210.pdf 85013656827 SCOPUS PUBMED 000391557700003 WOS cav_un_epca*0361697 Advances in Calculus of Variations 1864-8258 1864-8266 Roč. 10 č. 1 2017 49 67