On the n-dimensional Dirichlet problem for isometric maps

Bernard Dacorogna
2008
Article

Résumé

We exhibit explicit Lipschitz maps from R '' to R '' which have almost everywhere orthogonal gradient and are equal to zero on the boundary of a cube. We solve the problem by induction on the dimension n. (C) 2008 Elsevier Inc. All rights reserved.

Source officielle

https://infoscience.epfl.ch/record/160396?ln=fr

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On the n-dimensional Dirichlet problem for isometric maps

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