论文标题
等值问题的有限变化
Finite variations on the isoperimetric problem
论文作者
论文摘要
等法问题要求给定周边区域的最大面积。自然要考虑一个区域的其他测量值，例如直径和宽度，并在固定另一个区域的极端值。这些问题的解决方案是，如果竞争区域是一般凸盘，则知道这些问题的解决方案，但是，如果竞争区域最多具有给定数量的各个方面，则其中一些问题仍然是打开的。目前的工作调查了这些问题。
The isoperimetric problem asks for the maximum area of a region of given perimeter. It is natural to consider other measurements of a region, such as the diameter and width, and ask for the extreme value of one when another is fixed. The solution of these problems is known if the competing regions are general convex disks, however several of these problems are still open if the competing regions are polygons with at most a given number of sides. The present work surveys these problems.
