5 citations · 7 across the 4 of their papers we have counts for
4 papers
Quasistatic Droplet percolation
Nestor Guillen, Inwon Kim
We consider the Hele-Shaw problem in a randomly perforated domain with zero Neumann boundary conditions. A homogenization limit is obtained as the characteristic scale of the domai…
The local geometry of maps with c-convex potentials
Nestor Guillen, Jun Kitagawa
We identify a condition for regularity of optimal transport maps that requires only three derivatives of the cost function, for measures given by densities that are only bounded ab…
Five lectures on optimal transportation: Geometry, regularity and applications
Nestor Guillen, Robert McCann
In this series of lectures we introduce the Monge-Kantorovich problem of optimally transporting one distribution of mass onto another, where optimality is measured against a cost f…
Optimal regularity for the Signorini problem
Nestor Guillen
We prove under general assumptions that solutions of the thin obstacle or Signorini problem in any space dimension achieve the optimal regularity . This improves the kno…