93 citations · 187 across the 31 of their papers we have counts for
6 papers · 1 filter
Classification of uniformly distributed measures of dimension in general codimension
Paul Laurain, Mircea Petrache
Starting with the work of Preiss on the geometry of measures, the classification of uniform measures in has remained open, except for and for compactly supporte…
The Space of Weak Connections in High Dimensions
Mircea Petrache, Tristan Rivière
The space of Sobolev connections, as it has been introduced for studying the variation of Yang-Mills Lagrangian in the critical dimension , happens not to be weakly sequentially…
A singular radial connection over B^5 minimizing the Yang-Mills energy
Mircea Petrache
We prove that the pullback of the SU(n)-soliton of Chern class over via the radial projection minimizes the Yang-M…
The resolution of the Yang-Mills Plateau problem in super-critical dimensions
Mircea Petrache, Tristan Rivière
We study the minimization problem for the Yang-Mills energy under fixed boundary connection in supercritical dimension . We define the natural function space A_{G} in whic…
Interior partial regularity for minimal Lp-vectorfields with integer fluxes
Mircea Petrache
We use a new combinatorial technique to prove the optimal interior partial regularity result for Lp-vectorfields with integer fluxes minimizing the Lp-energy. More precisely, we pr…
Notes on a slice distance for singular Lp-bundles
Mircea Petrache
A slice distance for the class of weak abelian Lp-bundles in 3 dimensions was introduced in a previous article in collaboration with Tristan Rivière, where it was used to prove the…