Some Results on Harmonic Maps
by Min-Chun Hong  

Vol. 9 No. 2 (2014) P.187~P.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].

KEYWORDS
Harmonic maps

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 58J05, 58J35

MILESTONES

Received: 2013-07-22
Revised : 2014-01-14
Accepted: 2014-01-14

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