A remark on H1 mappings

Robert Hardt, Fang-Hua Lin

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)1-10
Number of pages10
JournalManuscripta Mathematica
Volume56
Issue number1
DOIs
StatePublished - Mar 1986

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Singular Point
Smooth function
Higher Dimensions
Continuous Function
Strictly
Minimise
Integer
Zero
Energy
Family
Generalization

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

A remark on H1 mappings. / Hardt, Robert; Lin, Fang-Hua.

In: Manuscripta Mathematica, Vol. 56, No. 1, 03.1986, p. 1-10.

Research output: Contribution to journalArticle

Hardt, Robert ; Lin, Fang-Hua. / A remark on H1 mappings. In: Manuscripta Mathematica. 1986 ; Vol. 56, No. 1. pp. 1-10.
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