93 citations · 187 across the 31 of their papers we have counts for
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math.DG2013
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…
math.DG2013
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…
math.FA2013★ 6 cited
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…