Characterization of gradient young measures generated by homeomorphisms in the plane

Result code in IS VaVaI

RIV/67985556:_____/16:00456299 - isvavai.cz

Result on the web

http://dx.doi.org/10.1051/cocv/2015003

DOI - Digital Object Identifier

10.1051/cocv/2015003

Result language

angličtina

Original language name

Characterization of gradient young measures generated by homeomorphisms in the plane

Original language description

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.

Czech name

—

Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

—

Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2016

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

ESAIM-Control Optimisation and Calculus of Variations

ISSN

1292-8119

e-ISSN

—

Volume of the periodical

22

Issue of the periodical within the volume

1

Country of publishing house

GB - UNITED KINGDOM

Number of pages

22

Pages from-to

267-288

UT code for WoS article

000369397300012

EID of the result in the Scopus database

2-s2.0-84958984464