Calculus of Variations and Geometric Measure Theory

F. Ebobisse - R. Toader

A note on the integral representation of functionals in the space SBD$(\Omega)$

created on 10 Jul 2001
modified on 06 Mar 2003


Accepted Paper

Inserted: 10 jul 2001
Last Updated: 6 mar 2003

Journal: Rend. Mat. Appl. (7)
Year: 2001

To appear


In this paper we study the integral representation in the space SBD$(\Omega)$ of special functions with bounded deformation of some $L^1$-norm lower semicontinuous functionals invariant with respect to rigid motions.

Keywords: Homogenization, Integral representation, Functions with bounded deformation, symmetric quasiconvexity