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arXiv · 1404.0370

Isoperimetric inequalities in conically bounded convex bodies

Manuel Ritoré·Efstratios Vernadakis
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Abstract

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 body admitting an \emph{exterior} asymptotic cone. Results concerning existence of isoperimetric regions, the behavior of the isoperimetric profile for large volumes, and a characterization of isoperimetric regions of large volume in conically bounded convex sets of revolution is obtained.

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BibTeXRIS

Manuel Ritoré, Efstratios Vernadakis. 2014-10-14. Isoperimetric inequalities in conically bounded convex bodies. https://arxiv.org/abs/1404.0370

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