On the n-dimensional Dirichlet problem for isometric maps

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.


Published in:
Journal Of Functional Analysis, 255, 3274-3280
Year:
2008
Keywords:
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 Record created 2010-11-30, last modified 2018-03-17


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