Published Paper
Inserted: 2 nov 2016
Last Updated: 12 apr 2026
Journal: Annales de l'Institut Fourier (Grenoble)
Volume: 68
Number: 5
Pages: 1909-1986
Year: 2018
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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