44 citations · 84 across the 29 of their papers we have counts for
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math.AP2014
Energy release rate for non smooth cracks in planar elasticity
Jean-François Babadjian, Antonin Chambolle, Antoine Lemenant
This paper is devoted to the characterization of the energy release rate of a crack which is merely closed, connected, and with density at the tip. First, the blow-up limit o…
math.AP2014
A rigidity result for global Mumford-Shah minimizers in dimension three
Antoine Lemenant
We study global Mumford-Shah minimizers in , introduced by Bonnet as blow-up limits of Mumford-Shah minimizers. We prove a new monotonicity formula for the energy of when…
math.MG2014★ 44 cited
Approximation of length minimization problems among compact connected sets
Matthieu Bonnivard, Antoine Lemenant, Filippo Santambrogio
In this paper we provide an approximation à la Ambrosio-Tortorelli of some classical minimization problems involving the length of an unknown one-dimensional set, with an additiona…