Lower semicontinuity in spaces of weakly differentiable functions (Q1298152)
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scientific article; zbMATH DE number 1336997
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lower semicontinuity in spaces of weakly differentiable functions |
scientific article; zbMATH DE number 1336997 |
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Lower semicontinuity in spaces of weakly differentiable functions (English)
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2 November 1999
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Lower semicontinuity results for multiple integrals with quasiconvex integrand are obtained in the setting of Sobolev spaces with respect to a measure and in the setting of generalized special functions of bounded variation. A significant feature of the proofs is the use of Young measures.
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lower semicontinuity
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quasiconvexity
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GSBV
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Sobolev spaces with respect to a measure
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generalized special functions of bounded variation
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Young measures
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