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Some new harmonic maps from \(B^ 3\) to \(S^ 2\) - MaRDI portal

Some new harmonic maps from \(B^ 3\) to \(S^ 2\) (Q1176354)

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scientific article; zbMATH DE number 14054
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English
Some new harmonic maps from \(B^ 3\) to \(S^ 2\)
scientific article; zbMATH DE number 14054

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    Some new harmonic maps from \(B^ 3\) to \(S^ 2\) (English)
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    25 June 1992
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    The author proves that for any point \(x_ 0\in\overline {B^ 3}\) there is a weakly harmonic map \(u: B^ 3\to S^ 2\) such that \(u(x)=x\) on \(\partial B^ 3\) and with the additional property that \(x_ 0\) is the only singularity of \(u\).
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    regularity theory
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    existence
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    harmonic map
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