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research article
On the n-dimensional Dirichlet problem for isometric maps
Dacorogna, B.
•
Marcellini, P.
•
Paolini, E.
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.
Type
research article
Web of Science ID
WOS:000261578900002
Authors
Dacorogna, B.
•
Marcellini, P.
•
Paolini, E.
Publication date
2008
Published in
Volume
255
Start page
3274
End page
3280
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
November 30, 2010
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