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  • 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.
  • 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. (en)
Title
  • Quasiconvexity at the boundary and concentration effects generated by gradients
  • Quasiconvexity at the boundary and concentration effects generated by gradients (en)
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  • Quasiconvexity at the boundary and concentration effects generated by gradients
  • Quasiconvexity at the boundary and concentration effects generated by gradients (en)
skos:notation
  • RIV/68407700:21110/13:00208564!RIV14-GA0-21110___
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  • I, P(GAP201/10/0357), P(GAP201/12/0671)
http://linked.open...iv/cisloPeriodika
  • 3
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  • 101239
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  • RIV/68407700:21110/13:00208564
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  • bounded sequences of gradients; concentrations, oscillations (en)
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  • FR - Francouzská republika
http://linked.open...ontrolniKodProRIV
  • [3E8D9377223E]
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  • ESAIM: Control, Optimisation and Calculus of Variations
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  • 19
http://linked.open...iv/tvurceVysledku
  • Kružík, Martin
http://linked.open...ain/vavai/riv/wos
  • 000322458300004
issn
  • 1262-3377
number of pages
http://bibframe.org/vocab/doi
  • 10.1051/cocv/2012028
http://localhost/t...ganizacniJednotka
  • 21110
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