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 25 Mar 2025

[BibTeX]

Published Paper

Inserted: 11 oct 2022
Last Updated: 25 mar 2025

Journal: Indiana Univ. Math. J.
Volume: 74
Pages: 233-249
Year: 2025
Doi: 10.1512/iumj.2025.74.60131

ArXiv: 2210.04355 PDF
Links: Published version

Abstract:

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.


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