solidot新版网站常见问题，请点击这里查看。
消息
本文已被查看294次
On the isoperimetric problem with perimeter density r^p. (arXiv:1706.09619v1 [math.DG])
来源于:arXiv
In this paper the author studies the isoperimetric problem in $\re^n$ with
perimeter density $|x|^p$ and volume density $1.$ We settle completely the case
$n=2,$ completing a previous work by the author: we characterize the case of
equality if $0\leq p\leq 1$ and deal with the case $-\infty<p<-1$ (with the
additional assumption $0\in\Omega$). In the case $n\geq 3$ we deal mainly with
the case $-\infty<p<0,$ showing among others that the results in $2$ dimensions
do not generalize for the range $-n+1<p<0.$ 查看全文>>
