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On the n-dimensional Dirichlet problem for isometric maps |
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| Authors: | B. Dacorogna P. Marcellini |
| Affiliation: | a Section de Mathématiques, EPFL, 1015 Lausanne, Switzerland b Dipartimento di Matematica, Università di Firenze, Viale Morgagni 67/A, 50134 Firenze, Italy |
| 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. |
| Keywords: | Dirichlet problem Orthogonal gradients |
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