Minimizers of a free boundary problem on three-dimensional cones
arXiv:2101.02262
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.
Corrects a typo of the value c in the abstract and statement of the main results to match what is proven in the paper