46 citations · 89 across the 18 of their papers we have counts for
5 papers · 1 filter
Reconstruction of manifold embeddings into Euclidean spaces via intrinsic distances
Nikita Puchkin, Vladimir Spokoiny, Eugene Stepanov +1
We consider the problem of reconstructing an embedding of a compact connected Riemannian manifold in a Euclidean space up to an almost isometry, given the information on intrinsic…
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…
Asymptotic optimal location of facilities in a competition between population and industries
Giuseppe Buttazzo, Filippo Santambrogio, Eugene Stepanov
We consider the problem of optimally locating a given number of points in for an integral cost function which takes into account two measures and . T…
Droplet condensation and isoperimetric towers
Matteo Novaga, Andrei Sobolevski, Eugene Stepanov
We consider a variational problem in a planar convex domain, motivated by statistical mechanics of crystal growth in a saturated solution. The minimizers are constructed explicitly…
Long-term planning versus short-term planning in the asymptotical location problem
A. Brancolini, G. Buttazzo, F. Santambrogio +1
Given the probability measure over the given region , we consider the optimal location of a set composed by points $\Om$ in order to minimize the average…