A simple proof of the characterization of functions of low Aviles Giga energy on a ball via regularity (Q2911440)
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scientific article; zbMATH DE number 6074756
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A simple proof of the characterization of functions of low Aviles Giga energy on a ball via regularity |
scientific article; zbMATH DE number 6074756 |
Statements
31 August 2012
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Aviles Giga functional
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liquid crystals
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compensated compactness
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0.91051495
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0.89216137
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0.84638613
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0.84287953
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0.83806026
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0.8322818
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0.83022124
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A simple proof of the characterization of functions of low Aviles Giga energy on a ball via regularity (English)
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The purpose of the present paper is twofold. First, the author provides a simple proof of a characterization of the minimizers of the Aviles Giga energy on a ball with a sharper estimate. Second, it is given a proof without the trace condition on the gradient. The proof of the main result is based on methods of regularity theory and ordinary differential equations.
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