# On Lower Semicontinuity of Integral Functionals in LD(U)

created on 19 Jul 1999
modified on 21 Jun 2002

[BibTeX]

Published Paper

Inserted: 19 jul 1999
Last Updated: 21 jun 2002

Journal: Ricerche di Matematica
Volume: 49
Pages: 65-76
Year: 2000

Abstract:

In this paper we study a weak convexity property arising in connection with the lower semicontinuity of some integral functionals defined in the space $LD(U)$ of functions $u$ in $L^1(U,R^n)$ such that the symmetric distributional derivative $Eu$ is a Radon measure absolutely continuous with respect to the Lebesgue measure.