论文标题
carnot组的本地和非局部1-Laplacian
Local and nonlocal 1-Laplacian in Carnot groups
论文作者
论文摘要
我们制定和研究非局部和局部最小梯度问题，这是1-拉普拉斯操作员的差异问题，在相当自然的Carnot组中。随着相互作用的范围为零，我们研究了从非局部问题到局部问题的通过。为此，我们首先证明了独立利益的总差异估计。
We formulate and study the nonlocal and local least gradient problem, which is the Dirichlet problem for the 1-Laplace operator, in a quite natural setting of Carnot groups. We study the passage from the nonlocal problem to the local problem as the range of the interaction goes to zero; to do this, we first prove a total variation estimate of independent interest.
