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arXiv · 2310.03683

A strong min-max property for level sets of Phase Transitions

Érico Melo Silva
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Abstract

We show that certain functions whose nodal sets lie near a fixed nondegenerate minimal hypersurface satisfy a strong min-max principle for the Allen--Cahn energy which is analogous to the strong min-max principle for non-degenerate minimal hypersurfaces first proved by Brian White.

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Érico Melo Silva. 2023-10-05. A strong min-max property for level sets of Phase Transitions. https://arxiv.org/abs/2310.03683

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