Abstract
Here we obtain various results on the class of axially symmetric harmonic maps from B3 to S2. We find some new classes of non‐minimizing harmonic maps exhibiting unusual singular behavior. Optimal partial regularity estimates are obtained for mappings which minimize, among axially symmetric maps, various relaxed energies which have been studied in [4]and [11].
Original language | English (US) |
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Pages (from-to) | 417-459 |
Number of pages | 43 |
Journal | Communications on Pure and Applied Mathematics |
Volume | 45 |
Issue number | 4 |
DOIs | |
State | Published - Apr 1992 |
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics