2014 / June Volume 9 No.2
Some Results on Harmonic Maps
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2014 / June
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Title | Some Results on Harmonic Maps |
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Pagination | 187-222 |
Abstract | In this note, we will outline the classical results of Eells-Sampson [7] on the harmonic heat flow, Sacks-Uhlenbeck [26] in homotopy classes and Schoen-Uhlenbeck [28] on the partial regularity of minimizing harmonic maps. This note also contains a new proof of the Sacks-Uhlenbeck result [26] by using an estimate of Trudinger [34], which improved the result of Moser in [23].
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AMS Subject Classification |
58J05, 58J35
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Received |
2014-01-14
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Accepted |
2014-01-14
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