Integral estimates for null Lagrangians

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170 Scopus citations

Abstract

Sobolev spaces of differential forms are studied, Lp-projections onto exact forms are introduced as a tool to obtain integral estimates for null Lagrangians. New results on compensated compactness are given and mean-coercive variational integrals are found. Existence of minima of certain mean-coercive functionals is established.

Original languageEnglish (US)
Pages (from-to)25-79
Number of pages55
JournalArchive for Rational Mechanics and Analysis
Volume125
Issue number1
DOIs
StatePublished - Mar 1 1993

ASJC Scopus subject areas

  • Analysis
  • Mathematics (miscellaneous)
  • Mechanical Engineering

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