Sets with finite $${mathbb H}$$-perimeter and controlled normal
Sets with finite $${mathbb H}$$-perimeter and controlled normal
复制标题
具有有限 $${mathbb H}$$-周长和受控法线的集合
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
D. Vittone
中科院分区：
文献类型：
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作者：
R. Monti;D. Vittone
在Heisenberg群中，证明了$${mathbb H}$$周长有限且在测度理论法线上有界的集合的边界是$${mathbb H}$$-Lipschitz图。然后证明，如果边界上的法线是连续映射的约束，则边界是$${mathbb H}$$-正则曲面。
In the Heisenberg group, we prove that the boundary of sets with finite $${mathbb H}$$-perimeter and having a bound on the measure theoretic normal is an $${mathbb H}$$-Lipschitz graph. Then we show that if the normal is, on the boundary, the restriction of a continuous mapping, then the boundary is an $${mathbb H}$$-regular surface.