Calculus of Variations and Geometric Measure Theory
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F. Ebobisse

Lusin Type Approximation of BD Functions

created on 26 Feb 1999
modified on 21 Jun 2002


Published Paper

Inserted: 26 feb 1999
Last Updated: 21 jun 2002

Journal: Proc. Roy. Soc. Edinburgh Sect. A
Volume: 129
Pages: 697-705
Year: 1999


The purpose of this paper is to establish a Lusin type approximation of functions with bounded deformation by Lipschitz or $C^1$ functions. The main ingredients in the proof of our result are the maximal function of the measure $Eu$, the ``Poincare' type'' result by R. Kohn and the approximate symmetric differentiabily of $BD$ functions by Ambrosio-Coscia-Dal Maso.


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