The Grötzsch problem in higher dimensions (Q658521)
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scientific article; zbMATH DE number 5996847
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Grötzsch problem in higher dimensions |
scientific article; zbMATH DE number 5996847 |
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The Grötzsch problem in higher dimensions (English)
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12 January 2012
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Summary: An extension of the Grötzsch problem to higher dimensions is considered. The problem is formulated and proven for a subclass of polyconvex energy integrals and counterexamples in general case are given. A conjecture about the generalized distortion functions is stated.
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Grötzsch problem
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distortion function
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polyconvex
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extremal mappings
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calculus of variations
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