Compactness of immersions with local Lipschitz representation
Annales de l'I.H.P. Analyse non linéaire, Tome 29 (2012) no. 4, pp. 545-572.

We consider immersions admitting uniform representations as a λ-Lipschitz graph. In codimension 1, we show compactness for such immersions for arbitrary fixed λ< and uniformly bounded volume. The same result is shown in arbitrary codimension for λ1 4.

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     author = {Breuning, Patrick},
     title = {Compactness of immersions with local {Lipschitz} representation},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
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Breuning, Patrick. Compactness of immersions with local Lipschitz representation. Annales de l'I.H.P. Analyse non linéaire, Tome 29 (2012) no. 4, pp. 545-572. doi : 10.1016/j.anihpc.2012.02.001. http://www.numdam.org/articles/10.1016/j.anihpc.2012.02.001/

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