bibtype	J - Journal Article
ARLID	0456299
utime	20240103211856.9
mtime	20160316235959.9
WOS	000369397300012
SCOPUS	84958984464
DOI	10.1051/cocv/2015003
title (primary) (eng)	Characterization of gradient young measures generated by homeomorphisms in the plane
specification	page_count 22 s. media_type P
serial	ARLID cav_un_epca*0257855 ISSN 1292-8119 title ESAIM-Control Optimisation and Calculus of Variations volume_id 22 volume 1 (2016) page_num 267-288 publisher name EDP Sciences
keyword	homeomorphism
keyword	orientation preservation
author (primary)	ARLID cav_un_auth*0307508 name1 Benešová name2 B. country DE share 50
author	ARLID cav_un_auth*0101142 name1 Kružík name2 Martin full_dept (cz) Matematická teorie rozhodování full_dept Department of Decision Making Theory department (cz) MTR department MTR institution UTIA-B full_dept Department of Decision Making Theory garant K share 50 fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
source	url http://library.utia.cas.cz/separaty/2016/MTR/kruzik-0456299.pdf
cas_special	project project_id GA14-00420S agency GA ČR country CZ ARLID cav_un_auth*0329446 project project_id GA14-15264S agency GA ČR ARLID cav_un_auth*0304434 project project_id GAP107/12/0121 agency GA ČR country CZ ARLID cav_un_auth*0328768 project project_id GAP201/10/0357 agency GA ČR ARLID cav_un_auth*0263489 project project_id GAP201/12/0671 agency GA ČR country CZ ARLID cav_un_auth*0289475 abstract (eng) 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. reportyear 2017 RIV BA num_of_auth 2 mrcbC52 4 A hod 4ah 20231122141532.6 inst_support RVO:67985556 permalink http://hdl.handle.net/11104/0258403 mrcbC64 1 Department of Decision Making Theory UTIA-B 10102 MATHEMATICS, APPLIED confidential S mrcbC86 1 Article Automation Control Systems|Mathematics Applied mrcbT16-e AUTOMATIONCONTROLSYSTEMS|MATHEMATICSAPPLIED mrcbT16-j 1.271 mrcbT16-s 1.249 mrcbT16-4 Q1 mrcbT16-B 84.551 mrcbT16-D Q1 mrcbT16-E Q1 arlyear 2016 mrcbTft \nSoubory v repozitáři: kruzik-0456299.pdf mrcbU14 84958984464 SCOPUS mrcbU34 000369397300012 WOS mrcbU63 cav_un_epca*0257855 ESAIM-Control Optimisation and Calculus of Variations 1292-8119 1262-3377 Roč. 22 č. 1 2016 267 288 EDP Sciences