0392445 20240103202549.520130920235959.9 000334679400018 10.1007/s00526-013-0621-9 16 s. P cav_un_epca*02523290944-2669491263-1278Springer null Lagrangians nonhomogeneous nonlinear mappings sequential weak/in measure continuity cav_un_auth*0231021 Kalamajska A. PL cav_un_auth*0291413 Kraemer S. DE cav_un_auth*0101142 Kružík Martin Matematická teorie rozhodování Department of Decision Making Theory MTR MTR UTIA-B Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2013/MTR/kruzik-sequential weak continuity of null lagrangians at the boundary.pdf GAP201/10/0357 GA ČR cav_un_auth*0263489 We show sequential weak/in measure continuity of some nonhomogeneous nonlinear mappings. We also give a precise characterization of null Lagrangians at the boundary in arbitrary dimensions. Further, we state a new weak lower semicontinuity theorem for integrands depending on null Lagrangians at the boundary. The paper closes with an example indicating that a well-known result on higher integrability of determinant by Müller (Bull. Am. Math. Soc. New Ser. 21(2): 245–248, 1989) need not necessarily extend to our setting. The notion of quasiconvexity at the boundary due to J.M. Ball and J. Marsden is central to our analysis. 2015 BA 3 RVO:67985556 http://hdl.handle.net/11104/0221334 MATHEMATICS|MATHEMATICSAPPLIED 2.177 2.952 Q1 95.956 89.774 Q1* Q1* 2014 000334679400018 WOS cav_un_epca*0252329 Calculus of Variations and Partial Differential Equations 0944-2669 1432-0835 Roč. 49 3/4 2014 1263 1278 Springer