Diffeomorphic Approximation of Sobolev Homeomorphisms

Research output: Contribution to journalArticle

39 Scopus citations

Abstract

Every homeomorphism h: → between planar open sets that belongs to the Sobolev class W1,p(, ), 1 < p < ∞ can be approximated in the Sobolev norm by C-smooth diffeomorphisms.

Original languageEnglish (US)
Pages (from-to)1047-1067
Number of pages21
JournalArchive for Rational Mechanics and Analysis
Volume201
Issue number3
DOIs
StatePublished - Sep 2011

ASJC Scopus subject areas

  • Analysis
  • Mathematics (miscellaneous)
  • Mechanical Engineering

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