Calculus of Variations and Geometric Measure Theory

C. De Lellis - J. Hirsch - L. Spolaor

Stationary and stable varifolds with singularities

created by delellis on 12 Apr 2026

[BibTeX]

Preprint

Inserted: 12 apr 2026
Last Updated: 12 apr 2026

Year: 2025

ArXiv: 2509.21508 PDF

Abstract:

We construct minimal $m$-dimensional immersions in $\R^{m+1}$, equipped with a $C^{1, \alpha}$ metric, $\alpha\in [0,1)$, with a sequence of \emph{catenoidal necks} or \emph{floating disks} converging to an isolated, multiplicity $2$, singular flat point.


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