A remark on the uniqueness of the harmonic maps (Q1192381)
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scientific article; zbMATH DE number 60796
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A remark on the uniqueness of the harmonic maps |
scientific article; zbMATH DE number 60796 |
Statements
A remark on the uniqueness of the harmonic maps (English)
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27 September 1992
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It is shown that the map \(u(x)=x/| x|\) is the unique weak solution of \(-\Delta u=u\cdot| \nabla u|^ 2\) among all mappings \(B^ n\to S^{n-1}\), \(n\geq 3\), with identity boundary values.
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uniqueness
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harmonic maps
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