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arXiv · 2403.13059

Stable cones in the Alt-Phillips free boundary problem

Aram Karakhanyan·Tomás Sanz-Perela
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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.

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Aram Karakhanyan, Tomás Sanz-Perela. 2024-03-19. Stable cones in the Alt-Phillips free boundary problem. https://arxiv.org/abs/2403.13059

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