论文标题
集合非本地功能家族的渐近分析
Asymptotic analysis of a family of non-local functionals on sets
论文作者
论文摘要
我们研究了一个功能家族的渐近行为，该家族惩罚有限的周长集与其补体之间的卷积类型的短程相互作用。我们首先计算点上的限制，并在更多常规组中获得较低的估计值。最后，讨论了一些示例。
We study the asymptotic behavior of a family of functionals which penalize a short-range interaction of convolution type between a finite perimeter set and its complement. We first compute the pointwise limit and we obtain a lower estimate on more regulars sets. Finally, some examples are discussed.
