Deformations of annuli with smallest mean distortion

K. Astala, T. Iwaniec, G. Martin

Research output: Contribution to journalArticle

45 Scopus citations

Abstract

We determine the extremal mappings with smallest mean distortion for mappings of annuli. As a corollary, we find that the Nitsche harmonic maps are Dirichlet energy minimizers among all homeomorphisms h: A(r, R) → A(r, R). However, outside the Nitsche range of the modulus of the annuli, within the class of homeomorphisms, no such energy minimizers exist. In this case we identify the BV-limits of minimizers.

Original languageEnglish (US)
Pages (from-to)899-921
Number of pages23
JournalArchive for Rational Mechanics and Analysis
Volume195
Issue number3
DOIs
StatePublished - Mar 1 2010

ASJC Scopus subject areas

  • Analysis
  • Mathematics (miscellaneous)
  • Mechanical Engineering

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