Calculus of Variations and Geometric Measure Theory

G. Dal Maso - R. Toader

Gamma-convergence and integral representation for a class of free discontinuity functionals

created by dalmaso on 07 May 2023
modified on 11 Jul 2023


Submitted Paper

Inserted: 7 may 2023
Last Updated: 11 jul 2023

Year: 2023


We study the Gamma-limits of sequences of free discontinuity functionals with linear growth, assuming that the surface energy density is bounded. We determine the relevant properties of the Gamma-limit, which lead to an integral representation result by means of integrands obtained by solving some auxiliary minimum problems on small cubes.