## Abstract

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 language | English (US) |
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Pages (from-to) | 1-10 |

Number of pages | 10 |

Journal | manuscripta mathematica |

Volume | 56 |

Issue number | 1 |

DOIs | |

State | Published - Mar 1986 |

## ASJC Scopus subject areas

- Mathematics(all)

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