0575874 20240402214447.920230927235959.9 85122609987 000739284900001 10.1515/acv-2021-0063 31 s. P cav_un_epca*03616971864-8258164 (2023)835-865 Lower semicontinuity nonreflexive spaces relaxation concentration effects cav_un_auth*0359168 Krömer Stefan UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory DE Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0101142 Kružík Martin UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0455505 Zappale E. IT 33 K http://library.utia.cas.cz/separaty/2023/MTR/kromer-0575874-preprint.pdf https://www.degruyter.com/document/doi/10.1515/acv-2021-0063/html GF19-29646L GA ČR CZ cav_un_auth*0385134 For an integral functional defined on functions (u, v) ∈ W1,1 × L1 featuring a prototypical strong interaction term between u and v, we calculate its relaxation in the space of functions with bounded variations and Radon measures. Interplay between measures and discontinuities bring various additional difficulties, and concentration effects in recovery sequences play a major role for the relaxed functional even if the limit measures are absolutely continuous with respect to the Lebesgue one. WOS BA 10000 10100 10101 2024 3 RVO:67985556 https://hdl.handle.net/11104/0345850 S Article Mathematics Applied|Mathematics C MATHEMATICS|MATHEMATICS.APPLIED 1.5 0.4 4.4 0.00178 1.132 499 27 1.618 28.46 1.72 169 Q1 1.300 31 Q1 74.6 Q1 Q1 1.31 Q1 86.4 2023 85122609987 SCOPUS PUBMED 000739284900001 WOS cav_un_epca*0361697 Advances in Calculus of Variations Roč. 16 č. 4 2023 835 865 1864-8258 1864-8266