Efstratios Vernadakis

collaborators

2 papers

math.DG2025

Isoperimetric Regions in Anisotropically Scaled Product Manifolds

Efstratios Vernadakis

Let $M, N$ be compact Riemannian manifolds. Then, for fixed volume fraction, in the product of a sufficiently small homothetic copy of $M$ with $N$ , every isoperimetric region is t…

math.MG2016

Isoperimetric inequalities in unbounded convex bodies

Gian Paolo Leonardi, Manuel Ritoré, Efstratios Vernadakis

We consider the problem of minimizing the relative perimeter under a volume constraint in an unbounded convex body $C \subset R^{n + 1}$ , without assuming any further regular…