Planar loops with prescribed curvature via Hardy's inequality
Analysis of PDEs
2023-10-24 v2 Differential Geometry
Abstract
We investigate the existence of closed planar loops with prescribed curvature. Our approach is variational, and relies on a Hardy type inequality and its associated functional space.
Cite
@article{arxiv.2309.06974,
title = {Planar loops with prescribed curvature via Hardy's inequality},
author = {Gabriele Cora and Roberta Musina},
journal= {arXiv preprint arXiv:2309.06974},
year = {2023}
}
Comments
20 pages; minor improvements and corrected typos