Oscillations and concentrations in sequences of gradients up to the boundary (Q2850730)
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scientific article; zbMATH DE number 6212966
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Oscillations and concentrations in sequences of gradients up to the boundary |
scientific article; zbMATH DE number 6212966 |
Statements
30 September 2013
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sequences of gradients
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concentrations
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oscillations
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quasiconvexity
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Oscillations and concentrations in sequences of gradients up to the boundary (English)
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In the present paper, the authors have established necessary and sufficient conditions ensuring that a given DiPerna-Majda measure is generated by gradients without any restrictions on the generating sequence, which extends a result of \textit{A. Kałamajska} and \textit{M. Kružík} [ESAIM, Control Optim. Calc. Var. 14, No. 1, 71--104 (2008; Zbl 1140.49009)] (here the full characterization was possible only for sequences subject to a fixed Dirichlet boundary condition). As an application, a relaxation result for non-coercive multiple-integral functionals is proved.
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