Minimizers of a free boundary problem on three-dimensional cones
Analysis of PDEs
2021-08-19 v2 Numerical Analysis
Numerical Analysis
Abstract
We consider a free boundary problem on three-dimensional cones depending on a parameter c and study when the free boundary is allowed to pass through the vertex of the cone. Combining analysis and computer-assisted proof, we show that when c is less than 0.43, the free boundary may pass through the vertex of the cone.
Cite
@article{arxiv.2101.02262,
title = {Minimizers of a free boundary problem on three-dimensional cones},
author = {Mark Allen and Blake Barker and Jason Gardiner and Mingyan Zhao},
journal= {arXiv preprint arXiv:2101.02262},
year = {2021}
}
Comments
Corrects a typo of the value c in the abstract and statement of the main results to match what is proven in the paper