Calculus of Variations and Geometric Measure Theory

C. Labourie - A. Lemenant

Regularity improvement for the minimizers of the two-dimensional Griffith energy

created by lemenant on 25 Nov 2021
modified by labourie on 22 Jan 2025

[BibTeX]

Published Paper

Inserted: 25 nov 2021
Last Updated: 22 jan 2025

Journal: Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.
Volume: 34
Year: 2023
Doi: 10.4171/rlm/1009

ArXiv: 2111.13081 PDF

Abstract:

In this paper we prove that the singular set of connected minimizers of the planar Griffith functional has Hausdorff dimension strictly less then one, together with the higher integrability of the symetrized gradient.


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