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On various classes of harmonic maps - MaRDI portal

On various classes of harmonic maps (Q1805522)

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scientific article; zbMATH DE number 756441
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On various classes of harmonic maps
scientific article; zbMATH DE number 756441

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    On various classes of harmonic maps (English)
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    20 July 1995
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    We prove that the scaled energy of a harmonic map with an isolated interior singularity satisfies a monotonicity inequality globally on the map's domain. Combined with a uniqueness criterion for a class of stationary harmonic maps, this allows us to show that there are harmonic maps whose scaled energies satisfy a certain monotonicity formula, but which are not stationary.
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    partial regularity
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    stationary harmonic maps
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    monotonicity formula
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