JournalsrlmVol. 34, No. 2pp. 337–357

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

  • Camille Labourie

    University of Cyprus, Nicosia, Cyprus

  • Antoine Lemenant

    Université de Lorraine, Vandoeuvre-lès-Nancy Cedex, France
Regularity improvement for the minimizers of the two-dimensional Griffith energy cover
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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