Planar closed curves with prescribed curvature
Differential Geometry
2024-07-02 v1
Abstract
By variational methods, we prove existence of planar closed curves with prescribed curvature for some classes of curvature functions. The main difficulty is to obtain bounded Palais-Smale sequences. This is achieved by adding a parameter in the problem and using a version of the "monotonicity trick" introduced by M. Struwe in 1988.
Keywords
Cite
@article{arxiv.2407.01062,
title = {Planar closed curves with prescribed curvature},
author = {Paolo Caldiroli and Anna Capietto},
journal= {arXiv preprint arXiv:2407.01062},
year = {2024}
}
Comments
13 pages