Calculus of Variations and Geometric Measure Theory

V. De Cicco - M. Gori

On supremal functionals defined in BV

created on 04 Nov 2004
modified by decicco on 15 Dec 2012


Published Paper

Inserted: 4 nov 2004
Last Updated: 15 dec 2012

Journal: Annali di Matematica Pura ed Applicata
Year: 2004


This paper is devoted to the study of the lower semicontinuity properties of suitable supremal functionals defined on the space of the functions of bounded variation. The main tool in the proofs is a lower semicontinuity theorem for supremal functionals defined on measures that is inspired to the classical Reshetnyak theorem in which integral functionals are involved.

Keywords: Lower Semicontinuity, Supremal functionals, BV-functions