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- W3104910366 abstract "We prove the multiplicity one theorem for min-max free boundary minimal hypersurfaces in compact manifolds with boundary of dimension between 3 and 7 for generic metrics. To approach this, we develop existence and regularity theory for free boundary hypersurface with prescribed mean curvature, which includes the regularity theory for minimizers, compactness theory, and a generic min-max theory with Morse index bounds. As applications, we construct new free boundary minimal hypersurfaces in the unit balls in Euclidean spaces and self-shrinkers of the mean curvature flows with arbitrarily large entropy." @default.
- W3104910366 created "2020-11-23" @default.
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- W3104910366 date "2020-11-08" @default.
- W3104910366 modified "2023-09-23" @default.
- W3104910366 title "Multiplicity one for min-max theory in compact manifolds with boundary and its applications" @default.
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- W3104910366 doi "https://doi.org/10.48550/arxiv.2011.04136" @default.
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