Isoperimetric Inequalities in Conically Bounded Convex Bodies
Isoperimetric Inequalities in Conically Bounded Convex Bodies
复制标题
圆锥界凸体中的等周不等式
DOI：
--
复制
发表时间：
2014
期刊：
影响因子：
--
通讯作者：
Efstratios Vernadakis
中科院分区：
文献类型：
--
作者：
M. Ritoré;Efstratios Vernadakis
考虑了在圆锥有界凸集内部，在体积约束下，允许外渐近锥的无界凸体。得到了等周区域的存在性、大体积等周轮廓的性质以及大体积等周区域在圆锥有界旋转凸集上的一个特征。
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 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 are obtained.