Quasiconvexity at the boundary and concentration effects generated by gradients

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F13%3A00208564" target="_blank" >RIV/68407700:21110/13:00208564 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1051/cocv/2012028" target="_blank" >http://dx.doi.org/10.1051/cocv/2012028</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1051/cocv/2012028" target="_blank" >10.1051/cocv/2012028</a>

Result language
angličtina
Original language name
Quasiconvexity at the boundary and concentration effects generated by gradients
Original language description
We characterize generalized Young measures, the so-called DiPerna-Majda measures which are generated by sequences of gradients. In particular, we precisely describe these measures at the boundary of the domain in the case of the compactification of the space of matrices by the sphere. We show that this characterization is closely related to the notion of quasiconvexity at the boundary introduced by Ball and Marsden. As a consequence we get new results on weak sequential continuity of certain integral functionals.
Czech name
—
Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GAP201%2F10%2F0357" target="_blank" >GAP201/10/0357: Modern mathematical and computational models for inelastic processes in solids</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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