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arXiv · 1611.00926

Min-max theory for minimal hypersurfaces with boundary

Camillo De Lellis·Jusuf Ramic
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Abstract

In this note we propose a min-max theory for embedded hypersurfaces with a fixed boundary and apply it to prove several theorems about the existence of embedded minimal hypersurfaces with a given boundary. A simpler variant of these theorems holds also for the case of the free boundary minimal surfaces.

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Camillo De Lellis, Jusuf Ramic. 2017-05-18. Min-max theory for minimal hypersurfaces with boundary. https://arxiv.org/abs/1611.00926

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