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Min-max theory for minimal hypersurfaces with boundary


De Lellis, Camillo; Ramic, Jusuf (2018). Min-max theory for minimal hypersurfaces with boundary. Annales de l'Institut Fourier, 68(5):1909-1986.

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.

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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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Uncontrolled Keywords:Geometry and Topology, Algebra and Number Theory
Language:English
Date:23 November 2018
Deposited On:17 Jan 2019 10:42
Last Modified:30 Jan 2020 13:29
Publisher:Association des Annales de l'Institut Fourier
ISSN:0373-0956
OA Status:Green
Free access at:Publisher DOI. An embargo period may apply.
Publisher DOI:https://doi.org/10.5802/aif.3200

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