R^N中的最小α-分割

Minimal α- Division in R^N

Ω是RN 中有界开区域 ,(E1 ,E2 ,E3)是Ω中的最小的α 分割。如果E1 ,E2 ,E3 都是非零测集 ,则E1 ,E3

Let Ω be a bounded open domain in R n and (E 1,E 2,E 3) a minimal α division in Ω . Moreover, if the sets E i(i=1,2,3) are ones of non zero measure, then each of E 1 and E 3 contains a ball.