Calculus of Variations and Geometric Measure Theory

A. Chambolle - V. Crismale

A general compactness theorem in $G(S)BD$

created by crismale on 11 Oct 2022
modified on 18 Apr 2023


Accepted Paper

Inserted: 11 oct 2022
Last Updated: 18 apr 2023

Journal: Indiana Univ. Math. J.
Year: 2022

ArXiv: 2210.04355 PDF


We give a new, simpler proof of a compactness result in $GSBD^p$, $p>1$, by the same authors, which is also valid in $GBD$ (the case $p=1$), and shows that bounded sequences converge a.e., after removal of a suitable sequence of piecewise infinitesimal rigid motions, subject to a fixed partition.