0456299 20240103211856.920160316235959.9 000369397300012 84958984464 10.1051/cocv/2015003 22 s. P cav_un_epca*02578551292-8119221 (2016)267-288EDP Sciences homeomorphism orientation preservation cav_un_auth*0307508 Benešová B. DE 50 cav_un_auth*0101142 Kružík Martin Matematická teorie rozhodování Department of Decision Making Theory MTR MTR UTIA-B Department of Decision Making Theory K 50 Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2016/MTR/kruzik-0456299.pdf GA14-00420S GA ČR CZ cav_un_auth*0329446 GA14-15264S GA ČR cav_un_auth*0304434 GAP107/12/0121 GA ČR CZ cav_un_auth*0328768 GAP201/10/0357 GA ČR cav_un_auth*0263489 GAP201/12/0671 GA ČR CZ cav_un_auth*0289475 We characterize Young measures generated by gradients of bi-Lipschitz orientation-preserving maps in the plane. This question is motivated by variational problems in nonlinear elasticity where the orientation preservation and injectivity of the admissible deformations are key requirements. These results enable us to derive new weak lower semicontinuity results for integral functionals depending on gradients. As an application, we show the existence of a minimizer for an integral functional with nonpolyconvex energy density among bi-Lipschitz homeomorphisms. 2017 BA 2 4 A hod 4ah 20231122141532.6 RVO:67985556 http://hdl.handle.net/11104/0258403 1 Department of Decision Making Theory UTIA-B 10102 MATHEMATICS, APPLIED S 1 Article Automation Control Systems|Mathematics Applied MATHEMATICS.APPLIED|AUTOMATION&CONTROLSYSTEMS 1.443 0.295 8.7 0.00479 1.271 1054 1.249 Q1 1.470 61 Q1 84.551 59.7 Q1 Q1 80.196 2016 Soubory v repozitáři: kruzik-0456299.pdf 84958984464 SCOPUS 000369397300012 WOS cav_un_epca*0257855 ESAIM-Control Optimisation and Calculus of Variations 1292-8119 1262-3377 Roč. 22 č. 1 2016 267 288 EDP Sciences