Stable cones in the Alt-Phillips free boundary problem
Analysis of PDEs
2025-02-20 v2
Abstract
In this paper we prove a classification result for axially symmetric one phase minimizers of the Alt-Phillips free boundary problem in dimensions 3, 4, and 5. To accomplish this, we establish a stability inequality that extends the one for the Alt-Caffarelli problem.
Cite
@article{arxiv.2403.13059,
title = {Stable cones in the Alt-Phillips free boundary problem},
author = {Aram Karakhanyan and Tomás Sanz-Perela},
journal= {arXiv preprint arXiv:2403.13059},
year = {2025}
}