Minimal currents and relaxation of variational integrals on mappings of bounded variation (Q919255)
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scientific article; zbMATH DE number 4159485
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Minimal currents and relaxation of variational integrals on mappings of bounded variation |
scientific article; zbMATH DE number 4159485 |
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Minimal currents and relaxation of variational integrals on mappings of bounded variation (English)
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1990
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The authors consider variational integrals for currents with locally finite mass on \(R^ n\). The main result asserts (without a proof) that under a growth condition for the integrand a shortest curve is a minimal current. As a consequence an explicit form of the lower semicontinuity envelope (the relaxation) of a functional for a problem in several independent variables is obtained.
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variational integrals
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shortest curve
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minimal current
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0.9692878
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0.8993943
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0.8959503
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0.8951652
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0.8912467
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0.89038444
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0.8903287
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0.8887917
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