Some results on harmonic maps (Q2875932)
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scientific article; zbMATH DE number 6329432
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some results on harmonic maps |
scientific article; zbMATH DE number 6329432 |
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12 August 2014
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harmonic maps
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regularity
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harmonic map heat flow
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bubbling
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Some results on harmonic maps (English)
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This is mostly an overview over some by-now classical results on harmonic maps and their heat flow, notably the Eells/Sampson existence proof using the heat flow method, the Schoen/Uhlenbeck partial regularity result, and the existence of harmonic spheres in certain homotopy classes proved by \textit{J. Sacks} and \textit{K. Uhlenbeck} [Ann. Math. (2) 113, 1--24 (1981; Zbl 0462.58014)]. For the latter result, there is a new proof here which uses the Moser-Trudinger inequality.
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