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Publication

On the n-dimensional Dirichlet problem for isometric maps

Bernard Dacorogna
2008
Journal Articles

Abstract

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.

Official source

On the n-dimensional Dirichlet problem for isometric maps

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