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arXiv · 1812.03095

An Obstacle Problem for Elastic Curves: Existence Results

Marius Müller
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Abstract

We consider an obstacle problem for elastic curves with fixed ends. We attempt to extend the graph approach provided in [8]. More precisely, we investigate nonexistence of graph solutions for special obstacles and extend the class of admissible curves in a way that an existence result can be obtained by a penalization argument.

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Marius Müller. 2018-12-07. An Obstacle Problem for Elastic Curves: Existence Results. https://arxiv.org/abs/1812.03095

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