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…