Distributional Jacobian equal to H-1 measure

Abstract

Let 1 {= p < 2. We construct a Holder continuous W-1,W-p mapping of a square into R-2 such that the distributional Jacobian equals to one-dimensional Hausdorff measure on a line segment. (C) 2013 Elsevier Masson SAS.

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Keywords

• deformations
• determinant