Some constancy results for nematic liquid crystals and harmonic maps (Q1905015)
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scientific article; zbMATH DE number 834231
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some constancy results for nematic liquid crystals and harmonic maps |
scientific article; zbMATH DE number 834231 |
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Some constancy results for nematic liquid crystals and harmonic maps (English)
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15 August 1996
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The paper deals with the question, whether a stationary point for the bulk energy (of a liquid crystal), which is equal to a constant on the boundary of the domain, occupied by the material, must become a constant throughout this domain. Five theorems are proved expanding considerably known dependencies between existence of such solutions and star-shapeness of the domain. But there are also results about non-starshaped bounded domains.
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harmonic maps
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Pokhozaev identity
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