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- W4311122180 abstract "We study min-max theory for area functional among hypersurfaces constrained in a smooth manifold with boundary. A Schoen-Simon-type regularity result is proved for integral varifolds which satisfy a variational inequality and restrict to a stable minimal hypersurface in the interior. Based on this, we show that for any admissible family of sweepouts $Pi$ in a compact manifold with boundary, there always exists a closed $C^{1,1}$ hypersurface with codimension$geq 7$ singular set in the interior and having mean curvature pointing outward along boundary realizing the width $textbf{L}(Pi)$." @default.
- W4311122180 created "2022-12-23" @default.
- W4311122180 creator A5068292369 @default.
- W4311122180 date "2020-10-25" @default.
- W4311122180 modified "2023-09-27" @default.
- W4311122180 title "Min-max Minimal Hypersurfaces with Obstacle" @default.
- W4311122180 doi "https://doi.org/10.48550/arxiv.2010.13305" @default.
- W4311122180 hasPublicationYear "2020" @default.
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