0444503 20240103210131.820150625235959.9 000351667900012 84926152394 10.1051/cocv/2014036 22 s. P cav_un_epca*02578551292-8119212 (2015)513-534EDP Sciences lower semicontinuity quasiconvexity cav_un_auth*0307508 Benešová B. DE 33 cav_un_auth*0295335 Kroemer S. DE K 33 cav_un_auth*0101142 Kružík Martin Matematická teorie rozhodování Department of Decision Making Theory MTR MTR UTIA-B Department of Decision Making Theory 34 Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2015/MTR/kruzik-0444503.pdf GAP201/10/0357 GA ČR cav_un_auth*0263489 We characterize lower semicontinuity of integral functionals with respect to weak* convergence in BV, including integrands whose negative part has linear growth. In addition, we allow for sequences without a fixed trace at the boundary. In this case, both the integrand and the shape of the boundary play a key role. This is made precise in our newly found condition – quasi-sublinear growth from below at points of the boundary – which compensates for possible concentration effects generated by the sequence. 2016 BA 3 4 A hod 4ah 20231122141004.5 RVO:67985556 http://hdl.handle.net/11104/0247499 1 1 Department of Decision Making Theory UTIA-B 10102 MATHEMATICS, APPLIED S AUTOMATION&CONTROLSYSTEMS|MATHEMATICS.APPLIED 1.202 0.28 8 0.00402 1.01 861 1.151 Q1 1.056 50 Q2 76.88 53.4 Q1 Q1 70.276 2015 Soubory v repozitáři: kruzik-0444503.pdf 84926152394 SCOPUS 000351667900012 WOS cav_un_epca*0257855 ESAIM-Control Optimisation and Calculus of Variations 1292-8119 1262-3377 Roč. 21 č. 2 2015 513 534 EDP Sciences