Global estimates for the Jacobians of orientation preserving mappings

T. Iwaniec, Shusen Ding

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


In this paper, we establish some global weighted integral estimates for the Jacobians J (x, f ) of an orientation-preserving mapping f = (f1, f2, , fn) : Ω → ℝn of the Sobolev class W1,n(Ω, ℝn) in John domains and Lφ(μ)-domains.

Original languageEnglish (US)
Pages (from-to)707-718
Number of pages12
JournalComputers and Mathematics with Applications
Issue number5-6
StatePublished - Sep 2005


  • Jacobians
  • John domains
  • Orientation-preserving mappings

ASJC Scopus subject areas

  • Modeling and Simulation
  • Computational Theory and Mathematics
  • Computational Mathematics


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