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\(\mathbb{S}^1\)-valued harmonic maps with high topological degree: Asymptotic behavior of the singular sets - MaRDI portal

\(\mathbb{S}^1\)-valued harmonic maps with high topological degree: Asymptotic behavior of the singular sets (Q1591351)

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scientific article; zbMATH DE number 1546780
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\(\mathbb{S}^1\)-valued harmonic maps with high topological degree: Asymptotic behavior of the singular sets
scientific article; zbMATH DE number 1546780

    Statements

    \(\mathbb{S}^1\)-valued harmonic maps with high topological degree: Asymptotic behavior of the singular sets (English)
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    3 September 2001
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    It is proved that the singularities of harmonic maps from a domain \(D\subset \mathbb{C}\) to \(S^1\) minimizing a renormalized energy tend to the boundary \(\partial D\) when their number becomes large.
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    Ginzburg-Landau harmonic maps
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    singularities
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    renormalized energy
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