Energy improvement for energy minimizing functions in the complement of generalized Reifenberg-flat sets

Details Energy improvement for energy minimizing functions in the complement of generalized Reifenberg-flat sets Energy improvement for energy minimizing functions in the complement of generalized Reifenberg-flat sets

2008-06-18

arxiv.org/abs/0806.2987v1

Mathematics

Analysis of PDEs

34 pages

Scientific paper

Let P be an hyperplane in R^N, and denote by dH the Hausdorff distance. We show that for all positive radius r < 1 there is an epsilon > 0, such that if K is a Reifenberg-flat set in B(0; 1), a ball in R^N, that contains the origin, with d_H(K; P)

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