Divergence forms of the ∞-Laplacian

Luigi D'Onofrio, Flavia Giannetti, Tadeusz Iwaniec, Juan Manfredi, Teresa Radice

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


The central theme running through our investigation is the ∞-Laplacian operator in the plane. Upon multiplication by a suitable function we express it in divergence form, this allows us to speak of weak ∞-harmonic function in W1,2. To every ∞-harmonic function u we associate its conjugate function v. We focus our attention to the first order Beltrami type equation for h = u + iv.

Original languageEnglish (US)
Pages (from-to)229-248
Number of pages20
JournalPublicacions Matematiques
Issue number1
StatePublished - 2006


  • ∞-Laplacian operator
  • ∞-harmonic functions

ASJC Scopus subject areas

  • General Mathematics


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