An Obstacle Problem for Elastic Curves: Existence Results
Differential Geometry
2018-12-10 v1
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
@article{arxiv.1812.03095,
title = {An Obstacle Problem for Elastic Curves: Existence Results},
author = {Marius Müller},
journal= {arXiv preprint arXiv:1812.03095},
year = {2018}
}
Comments
44 pages, 3 figures