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

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.

Minor corrections

References in corpus (1)

• Partial regularity for the crack set minimizing the two-dimensional Griffith energy

Cited by in corpus (1)

• Uniform concentration property for Griffith almost-minimizers