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20202026
most citedEpsilon-regularity for Griffith almost-minimizers in any dimension under a separating condition

3 citations · 9 across the 8 of their papers we have counts for

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math.AP2021★ 2 cited

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

Camille Labourie, Antoine Lemenant

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 inte…

math.AP2021

The calibration method for the Thermal Insulation functional

Camille Labourie, Emmanouil Milakis

We provide minimality criteria by construction of calibrations for functionals arising in the theory of Thermal Insulation.

math.AP2021

Higher integrability of the gradient for the Thermal Insulation problem

Camille Labourie, Emmanouil Milakis

We prove the higher integrability of the gradient for minimizers of the thermal insulation problem, an analogue of De Giorgi's conjecture for the Mumford-Shah functional. We deduce…