Calculus of Variations and Geometric Measure Theory

C. Labourie - A. Lemenant

Uniform concentration property for Griffith almost-minimizers

created by labourie on 07 Dec 2023
modified on 22 Mar 2024



Inserted: 7 dec 2023
Last Updated: 22 mar 2024

Year: 2023

ArXiv: 2312.03614 PDF


We prove that a Hausdorff limit of Griffith almost-minimizers, is still a Griffith almost-minimizer. For that purpose we present a new approach to the uniform concentration property of Dal Maso, Morel and Solimini which avoids the use of the coarea formula, not available for the symmetric gradient. We then obtain several applications, as for instance a general procedure to perform blow-up limits.