Variational problem involving operator curl in a multiconnected domain (Q523607)
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scientific article; zbMATH DE number 6707030
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Variational problem involving operator curl in a multiconnected domain |
scientific article; zbMATH DE number 6707030 |
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Variational problem involving operator curl in a multiconnected domain (English)
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21 April 2017
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Summary: We study the problem of minimizing a functional involving the curl of vector fields in a three-dimensional, bounded multiconnected domain with prescribed tangential component on the boundary. The paper is an extension of the \(L^2\) minimization problem of the curl of vector fields. We prove the existence and the estimate of minimizers of a more general functional which contains \(L^p\) norm of the curl of vector fields.
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curl of vector fields
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minimization
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