Kavli Affiliate: Zheng Zhu | First 5 Authors: Tapio Rajala, Zheng Zhu, , , | Summary: In this note, we prove that the boundary of a $(W^{1, p}, BV)$-extension domain is of volume zero under the assumption that the domain $boz$ is $1$-fat at almost every $xinpartialboz$. Especially, the boundary of any planar $(W^{1, p}, […]
Continue.. Zero volume boundary for extension domains from Sobolev to $BV$