Research output: Contribution to journal › Article › peer-review
We prove that a region in a two-dimensional affine subspace of a normed space V has the least 2-dimensional Hausdorff measure among all compact surfaces with the same boundary. Furthermore, the 2-dimensional Hausdorff area density admits a convex extension to Λ 2V. The proof is based on a (probably) new inequality for the Euclidean area of a convex centrally-symmetric polygon.
Original language | English |
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Pages (from-to) | 627-638 |
Number of pages | 12 |
Journal | Geometric and Functional Analysis |
Volume | 22 |
Issue number | 3 |
DOIs | |
State | Published - 1 Sep 2012 |
ID: 49983330