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- W3006617137 abstract "On compact 2-manifolds with non-empty convex boundary, we prove a regularity result for integral 1-varifolds $V$ that are stationary with free boundary and $mathbb{Z}_2$-almost minimizing in small annuli. That regularity says that $V$ is a free boundary finite geodesic network. Next, using that regularity, we compute the first $p$-widths of the unit closed ball $B^2,$ for $p=1, . . . , 4.$ As a consequence, we find an unstable geodesic with free boundary as a min-max critical varifold with multiplicity." @default.
- W3006617137 created "2020-02-24" @default.
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- W3006617137 date "2020-02-17" @default.
- W3006617137 modified "2023-09-27" @default.
- W3006617137 title "The first $p$-widths of the unit disk" @default.
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