90 citations · 408 across the 55 of their papers we have counts for
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math.OC2015
Regularity for the optimal compliance problem with length penalization
Antonin Chambolle, Jimmy Lamboley, Antoine Lemenant +1
We prove some regularity results for a connected set S in the planar domain O, which minimizes the compliance of its complement O§, plus its length. This problem, interpreted as to…
math.AP2015
Existence and uniqueness for a crystalline mean curvature flow
Antonin Chambolle, Massimiliano Morini, Marcello Ponsiglione
An existence and uniqueness result, up to fattening, for a class of crystalline mean curvature flows with natural mobility is proved. The results are valid in any dimension and for…