Consider the following variational problem: among all curves in R^{n} of fixed length with prescribed end points and prescribed tangents at the end points, minimise the* L*^{∞}-norm of the curvature. We show that the solutions of this problem, and of a generalised version, are characterised by a system of differential equations. Furthermore, we have a lot of information about the structure of solutions, which allows a classification.

Original language | English |
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Publication status | Published - 5 Aug 2019 |
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Name | arXiv |
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Publisher | Cornell University |
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