Number of the records: 1

Characterization of gradient young measures generated by homeomorphisms in the plane

SYSNO ASEP	0456299
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Characterization of gradient young measures generated by homeomorphisms in the plane
Author(s)	Benešová, B. (DE) Kružík, Martin (UTIA-B)_{RID, ORCID}
Number of authors	2
Source Title	ESAIM-Control Optimisation and Calculus of Variations. - : EDP Sciences - ISSN 1292-8119 Roč. 22, č. 1 (2016), s. 267-288
Number of pages	22 s.
Publication form	Print - P
Language	eng - English
Country	GB - United Kingdom
Keywords	homeomorphism ; orientation preservation
Subject RIV	BA - General Mathematics
R&D Projects	GA14-15264S GA ČR - Czech Science Foundation (CSF)
	GAP201/10/0357 GA ČR - Czech Science Foundation (CSF)
	GAP201/12/0671 GA ČR - Czech Science Foundation (CSF)
Institutional support	UTIA-B - RVO:67985556
UT WOS	000369397300012
EID SCOPUS	84958984464
DOI	10.1051/cocv/2015003
Annotation	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.
Workplace	Institute of Information Theory and Automation
Contact	Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201.
Year of Publishing	2017

Number of the records: 1