93 citations · 187 across the 31 of their papers we have counts for
4 papers · 1 filter
Controlled singular extension of critical trace Sobolev maps from spheres to compact manifolds
Mircea Petrache, Jean Van Schaftingen
Given , a compact Riemannian manifold and a Sobolev map , we construct a map in the Sobolev-Marcinkiewicz…
Decorrelation as an avatar of convexity
Mircea Petrache
If is a Polish space then we show that the product measure on is guaranteed to minimize -energy amongst exchangeable measures with fixed marginals if and only if…
Global gauges and global extensions in optimal spaces
Mircea Petrache, Tristan Rivière
We consider the problem of extending functions ϕ:\to S^n to functions u:B^{n+1}\to S^n for n=2,3. We assume ϕto belong to the critical space W^{1,n} and we construct a W^{1,(n+1,\i…
A continuous model of transportation revisited
Lorenzo Brasco, Mircea Petrache
We review two models of optimal transport, where congestion effects during the transport can be possibly taken into account. The first model is Beckmann's one, where the transport…