English

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

Analysis of PDEs 2023-11-15 v2

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.

Keywords

Cite

@article{arxiv.2111.13081,
  title  = {Regularity improvement for the minimizers of the two-dimensional Griffith energy},
  author = {Camille Labourie and Antoine Lemenant},
  journal= {arXiv preprint arXiv:2111.13081},
  year   = {2023}
}

Comments

Minor corrections