Distributional Jacobian equal to $ {\mathcal{H}}^{1}$ measure

Hencl, Stanislav; Liu, Zhuomin; Malý, Jan

Distributional Jacobian equal to

ℋ^{1}

measure

Hencl, Stanislav ; Liu, Zhuomin ; Malý, Jan

Annales de l'I.H.P. Analyse non linéaire, Tome 31 (2014), p. 947-955 / Harvested from Numdam

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Résumé

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.

Publié le : 2014-01-01

MR 3258361 | Zbl 06349274

DOI : https://doi.org/10.1016/j.anihpc.2013.08.002

@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},
     volume = {31},
     year = {2014},
     pages = {947-955},
     doi = {10.1016/j.anihpc.2013.08.002},
     mrnumber = {3258361},
     zbl = {06349274},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPC_2014__31_5_947_0}
}

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) pp. 947-955. doi : 10.1016/j.anihpc.2013.08.002. http://gdmltest.u-ga.fr/item/AIHPC_2014__31_5_947_0/

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