论文标题
$ \ mathbb {r} $的等级3-和4-泡结果，$ | x | $
Isoperimetric 3- and 4-bubble results on $\mathbb{R}$ with density $|x|$
论文作者
论文摘要
我们在$ \ mathbb {r}^1 $上使用规定的密度函数$ f（x）= | x | $研究了等等问题。在这些条件下，我们发现等等$ 3 $ bubble和$ 4 $ bubble的结果满足了常规结构。随着我们的大小的增加，形成它们的间隔在整个原点上交替，较小的区域更接近原点。这扩展了有关$ \ mathbb {r} $的先前已知观察结果，并具有密度$ | x |^p $。
We study the isoperimetric problem on $\mathbb{R}^1$ with a prescribed density function $f(x) = |x|$. Under these conditions, we find that isoperimetric $3$-bubble and $4$-bubble results satisfy a regular structure. As our regions increase in size, the intervals that form them alternate back-and-forth across the origin, with the smaller regions closer to the origin. This expands on previously known observations about the single- and double-bubble results on $\mathbb{R}$ with density $|x|^p$.
