Isoperimetric Inequalities in Unbounded Convex Bodies

We consider the problem of minimizing the relative perimeter under a volume constraint in an unbounded convex body C ⊂ Rn, without assuming any further regularity on the boundary of C. Motivated by an example of an unbounded convex body with null isoperimetric profile, we introduce the concept of un...

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Bibliographic Details
Main Authors: Leonardi, G.P (Author), Ritoré, M. (Author), Vernadakis, E. (Author)
Format: Article
Language:English
Published: American Mathematical Society 2022
Subjects:
Online Access:View Fulltext in Publisher