An Obstacle Problem for Elastic Curves: Existence Results

2018/12/07 by Müller, Marius · 2 citations
#49Q20 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1812.03095

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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