论文标题
格里菲斯（Griffith
Epsilon-regularity for Griffith almost-minimizers in any dimension under a separating condition
论文作者
论文摘要
在本文中，我们证明，如果（u，k）几乎是Griffith功能的几乎最小化器，而K是$ε$ - 在某些球B $ \ subset $ r n中限制在飞机上，而将球B分为两个大零件，则k是c 1，$α$在较小的球中。我们的结果包含[4]的两个维度结果，并以[23，24]启发的不同，更复杂的方法，也使用[20]，以使一部分论点适应Griffith Minimizizers。
In this paper we prove that if (u, K) is an almost-minimizer of the Griffith functional and K is $ε$-close to a plane in some ball B $\subset$ R N while separating the ball B in two big parts, then K is C 1,$α$ in a slightly smaller ball. Our result contains and generalizes the 2 dimensional result of [4], with a different and more sophisticate approach inspired by [23, 24], using also [20] in order to adapt a part of the argument to Griffith minimizers.
