46 citations · 58 across the 5 of their papers we have counts for
Showing math.APShow all
2 papers · 1 filter
math.AP2022
Isoperimetric planar clusters with infinitely many regions
Matteo Novaga, Emanuele Paolini, Eugene Stepanov +1
An infinite cluster in is a sequence of disjoint measurable sets , , called regions of the cluster. Given the volu…
math.AP2021★ 1 cited
Isoperimetric clusters in homogeneous spaces via concentration compactness
Matteo Novaga, Emanuele Paolini, Eugene Stepanov +1
We show the existence of generalized clusters of a finite or even infinite number of sets, with minimal total perimeter and given total masses, in metric measure spaces homogeneous…