Mappings of finite distortion: Decay of the Jacobian in the plane

Pekka Koskela, Jani Onninen

Research output: Contribution to journalArticle

6 Scopus citations

Abstract

We establish the optimal degree of integrability for the reciprocal of the Jacobian determinant of a planar mapping of finite, p-integrable distortion.

Original languageEnglish (US)
Pages (from-to)309-321
Number of pages13
JournalAdvances in Calculus of Variations
Volume1
Issue number3
DOIs
StatePublished - Oct 1 2008

Keywords

  • Jacobian
  • Mapping of finite distortion

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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