Abstract. We exhibit explicit Lipschitz maps from Rn to Rn 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.

On the n-dimensional Dirichlet problem for isometric maps

PAOLINI, EMANUELE
2008-01-01

Abstract

Abstract. We exhibit explicit Lipschitz maps from Rn to Rn 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.
2008
B., Dacorogna; P., Marcellini; Paolini, Emanuele
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/819533
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