Extremal problems for Lp surface areas and John ellipsoids
Extremal problems for Lp surface areas and John ellipsoids
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Lp 表面积和 John 椭球的极值问题
DOI：
10.1016/j.jmaa.2019.06.076
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发表时间：
2019
影响因子：
1.3
通讯作者：
Xiong Ge
中科院分区：
文献类型：
--
作者：
Bo Yunfei;Xiong Ge
研究了凸几何中两个紧密联系的极值问题：平移变换下凸体的最小Lp表面积和最大Lp John椭球。证明了凸体存在一个唯一的内点，使凸体达到其极值。
Two closely connected extremal problems in convex geometry: the minimal Lpsurface area and the maximal Lp John ellipsoid of a convex body under translation transforms, are solved. It is shown that there exists a unique interior point of a convex body such that they attain their extrema.