论文标题
Carnot组非本地周长的局部最小化和伽马连接
Local minimizers and Gamma-convergence for nonlocal perimeters in Carnot Groups
论文作者
论文摘要
我们证明，对于一类通常作为非局部周围的非本地功能的Carnot组中半个空间的局部最小值。此外，在De Giorgi的重新讨论定理所持的一类Carnot组中，我们以水平周边为$γ$ -liminf为$γ$ -liminf提供了下限。
We prove the local minimality of halfspaces in Carnot groups for a class of nonlocal functionals usually addressed as nonlocal perimeters. Moreover, in a class of Carnot groups in which the De Giorgi's rectifiability Theorem holds, we provide a lower bound for the $Γ$-liminf of the rescaled energy in terms of the horizontal perimeter.
