Axially symmetric harmonic maps minimizing a relaxed energy

Robert Hardt, Fang‐Hua ‐H Lin, Chi‐Cheung ‐C Poon

Research output: Contribution to journalArticlepeer-review


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 languageEnglish (US)
Pages (from-to)417-459
Number of pages43
JournalCommunications on Pure and Applied Mathematics
Issue number4
StatePublished - Apr 1992

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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