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math.AP2022★ 3 cited
Epsilon-regularity for Griffith almost-minimizers in any dimension under a separating condition
Camille Labourie, Antoine Lemenant
In this paper we prove that if (u, K) is an almost-minimizer of the Griffith functional and K is -close to a plane in some ball B R N while separating the ball B in tw…
math.AP2022
An isoperimetric problem with two distinct solutions
Antoine Henrot, Antoine Lemenant, Ilaria Lucardesi
In this paper we prove that among all convex domains of the plane with two axis of symmetry, the maximizer of the first non trivial Neumann eigenvalue with perimeter constrai…