Interfaces and Free Boundaries
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Published online: 2019-05-09
An obstacle problem for elastic curves: Existence resultsMarius Müller (1) Universität Ulm, Germany
We consider an obstacle problem for elastic curves with fixed ends. We attempt to extend the graph approach provided in . 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.
Keywords: Obstacle problem, elastic energy, length penalization, convex envelope
Müller Marius: An obstacle problem for elastic curves: Existence results. Interfaces Free Bound. 21 (2019), 87-129. doi: 10.4171/IFB/418