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math.AP2023
The standard lens cluster in R^2 uniquely minimizes relative perimeter
Stan Alama, Lia Bronsard, Silas Vriend
In this article we consider the isoperimetric problem for partitioning the plane into three disjoint domains, one having unit area and the remaining two having infinite area. We sh…
math.AP2023
On a Free-Endpoint Isoperimetric Problem in
Stanley Alama, Lia Bronsard, Silas Vriend
Inspired by a planar partitioning problem involving multiple improper chambers, this article investigates using classical techniques what can be said of the existence, uniqueness,…