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Axially symmetric harmonic maps minimizing a relaxed energy
Author(s) -
Hardt Robert,
Lin FangHua,
Poon ChiCheung
Publication year - 1992
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.3160450404
Subject(s) - axial symmetry , harmonic map , mathematics , harmonic , class (philosophy) , mathematical analysis , energy (signal processing) , pure mathematics , geometry , physics , computer science , artificial intelligence , quantum mechanics , statistics
Here we obtain various results on the class of axially symmetric harmonic maps from B 3 to S 2 . 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].