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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.
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-03448933
Contributor : Antoine Lemenant Connect in order to contact the contributor
Submitted on : Thursday, November 25, 2021 - 2:20:09 PM
Last modification on : Tuesday, November 30, 2021 - 3:45:48 AM

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griffith2D_submitted.pdf
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  • HAL Id : hal-03448933, version 1

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Camille Labourie, Antoine Lemenant. Regularity improvement for the minimizers of the two-dimensional griffith energy. 2021. ⟨hal-03448933⟩

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