Regularity improvement for the minimizers of the two-dimensional Griffith energy
Camille Labourie
University of Cyprus, Nicosia, CyprusAntoine Lemenant
Université de Lorraine, Vandoeuvre-lès-Nancy Cedex, France
Abstract
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.
Cite this article
Camille Labourie, Antoine Lemenant, Regularity improvement for the minimizers of the two-dimensional Griffith energy. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 34 (2023), no. 2, pp. 337–357
DOI 10.4171/RLM/1009