Distributional Jacobian equal to ℋ 1 measure
Annales de l'I.H.P. Analyse non linéaire, Tome 31 (2014) no. 5, pp. 947-955.

Let 1⩽p<2. We construct a Hölder continuous W 1,p mapping of a square into ℝ 2 such that the distributional Jacobian equals to one-dimensional Hausdorff measure on a line segment.

@article{AIHPC_2014__31_5_947_0,
     author = {Hencl, Stanislav and Liu, Zhuomin and Mal\'y, Jan},
     title = {Distributional {Jacobian} equal to $ {\mathcal{H}}^{1}$ measure},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {947--955},
     publisher = {Elsevier},
     volume = {31},
     number = {5},
     year = {2014},
     doi = {10.1016/j.anihpc.2013.08.002},
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     url = {http://www.numdam.org/articles/10.1016/j.anihpc.2013.08.002/}
}
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Hencl, Stanislav; Liu, Zhuomin; Malý, Jan. Distributional Jacobian equal to $ {\mathcal{H}}^{1}$ measure. Annales de l'I.H.P. Analyse non linéaire, Tome 31 (2014) no. 5, pp. 947-955. doi : 10.1016/j.anihpc.2013.08.002. http://www.numdam.org/articles/10.1016/j.anihpc.2013.08.002/

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