A remark on H1 mappings

Robert Hardt, Fang Hua Lin

Research output: Contribution to journalArticlepeer-review


With {Mathematical expression}, we here construct, for each positive integer N, a smooth function {Mathematical expression} of degree zero so that there must be at least N singular points for any map that minimizes the energy {Mathematical expression} in the family {Mathematical expression}. The infimum of ε over U(g) is strictly smaller than the infimum of ε over the continuous functions in U(g). There are some generalizations to higher dimensions.

Original languageEnglish (US)
Pages (from-to)1-10
Number of pages10
Journalmanuscripta mathematica
Issue number1
StatePublished - Mar 1986

ASJC Scopus subject areas

  • General Mathematics


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