Serena Dipierro

Nonlocal Approximation of Minimal Surfaces: Optimal Estimates From Stability

ABSTRACT Minimal surfaces in closed 3‐manifolds are classically constructed via the Almgren‐Pitts approach. The Allen‐Cahn approximation has proved to be a powerful alternative, and Chodosh and Mantoulidis (in Ann. Math. 2020) used it to give a new proof of Yau's conjecture for g...