Harmonic homeomorphisms of the closed disc to itself need be in w1,p, p < 2, but not w1,2

Research output: Contribution to journalArticle

8 Scopus citations

Abstract

Harmonic maps u from the closed disc onto bounded convex sets of the plane obey u ε W1,p, p < 2.

Original languageEnglish (US)
Pages (from-to)891-894
Number of pages4
JournalProceedings of the American Mathematical Society
Volume135
Issue number3
DOIs
StatePublished - Mar 1 2007

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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