0392414 20240103202547.420130920235959.9 000330718000007 10.1080/00036811.2012.760039 19 s. P cav_un_epca*02906500003-6811931 (2014)105-123Taylor & Francis Young measures orientation-preserving mappings relaxation cav_un_auth*0255197 Benešová Barbora D 5 - Ultrazvukové metody D 5 - Ultrasonic Methods UT-L D5 – Ultrasonic Methods Ústav termomechaniky AV ČR, v. v. i. 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. cav_un_auth*0263956 Pathó G. CZ http://library.utia.cas.cz/separaty/2013/MTR/kruzik-young measures supported on invertible matrices.pdf GAP201/12/0671 GA ČR CZ cav_un_auth*0289475 GAP201/10/0357 GA ČR cav_un_auth*0263489 Motivated by variational problems in nonlinear elasticity, we explicitly characterize the set of Young measures generated by gradients of a uniformly bounded sequence in $W^{1,/infty}(/O;/R^n)$ where the inverted gradients are also bounded in $L^/infty(/O;/R^{n/times n})$. This extends the original results due to D.~Kinderlehrer and P.~Pedregal /cite{k-p1}. Besides, we completely describe Young measures generated by a sequence of matrix-valued mappings $/{Y_k/}_{k/in/N} /subset L^p(/O;/R^{n/times n})$, such that $/{Y_k^{-1}/}_{k/in/N} /subset L^p(/O;/R^{n/times n})$ is bounded, too, and the generating sequence satisfies the constraint $/det Y_k > 0$. 2014 BA 3 RVO:67985556 RVO:61388998 http://hdl.handle.net/11104/0221746 MATHEMATICSAPPLIED 0.573 0.758 Q2 41.9 46.887 Q3 Q2 2014 000330718000007 WOS cav_un_epca*0290650 Applicable Analysis 0003-6811 1563-504X Roč. 93 č. 1 2014 105 123 Taylor & Francis