Regularity improvement for the minimizers of the two-dimensional Griffith energy
Camille Labourie, Antoine Lemenant · Rendiconti Lincei Matematica e Applicazioni · 2023
In this paper, we prove that the singular set of connected minimizers of the planar Griffith functional has Hausdorff dimension strictly less than one, together with the higher integrability of the symmetrized gradient.