On the existence of harmonic mappings between doubly connected domains

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


While the existence of conformal mappings between doubly connected domains is characterized by their conformal moduli, no such characterization is available for harmonic diffeomorphisms. Intuitively, one expects their existence if the domain is not too thick compared to the codomain. We make this intuition precise by showing that for a Dini-smooth doubly connected domain Ω∗ there exists a I > 0 such that for every doubly connected domain Ω with ModΩ∗ < ModΩ < ModΩ∗ I there exists a harmonic diffeomorphism from Ω onto Ω∗.

Original languageEnglish (US)
Pages (from-to)619-628
Number of pages10
JournalProceedings of the Royal Society of Edinburgh Section A: Mathematics
Issue number3
StatePublished - Jun 1 2018


  • 2010 Mathematics subject classification: Primary 31A05
  • 30C20
  • Secondary 58E20

ASJC Scopus subject areas

  • General Mathematics


Dive into the research topics of 'On the existence of harmonic mappings between doubly connected domains'. Together they form a unique fingerprint.

Cite this