An obstacle problem for elastic curves: Existence results
Marius Müller
Universität Ulm, Germany
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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.
Cite this article
Marius Müller, An obstacle problem for elastic curves: Existence results. Interfaces Free Bound. 21 (2019), no. 1, pp. 87–129
DOI 10.4171/IFB/418