13 citations · 16 across the 4 of their papers we have counts for
6 papers
Isoperimetric Regions in Anisotropically Scaled Product Manifolds
Efstratios Vernadakis
Let be compact Riemannian manifolds. Then, for fixed volume fraction, in the product of a sufficiently small homothetic copy of with , every isoperimetric region is t…
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 , without assuming any further regular…
Isoperimetric inequalities in conically bounded convex bodies
Manuel Ritoré, Efstratios Vernadakis
In this paper we consider the problem of minimizing the relative perimeter under a volume constraint in the interior of a conically bounded convex set, i.e., an unbounded convex bo…
Isoperimetric inequalities in convex cylinders and cylindrically bounded convex bodies
Manuel Ritoré, Efstratios Vernadakis
In this paper we consider the isoperimetric profile of convex cylinders , where is an -dimensional convex body, and of cylindrically bounded convex sets…
Large isoperimetric regions in the product of a compact manifold with Euclidean space
Manuel Ritoré, Efstratios Vernadakis
Given a compact Riemannian manifold without boundary, we show that large isoperimetric regions in are tubular neighborhoods of , with $x\in\…
Isoperimetric inequalities in Euclidean convex bodies
Manuel Ritoré, Efstratios Vernadakis
In this paper we consider the problem of minimizing the relative perimeter under a volume constraint in the interior of a convex body, i.e., a compact convex set in Euclidean space…