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De Lellis, Camillo; Ramic, Jusuf (2018). Min-max theory for minimal hypersurfaces with boundary. Annales de l'Institut Fourier, 68(5):1909-1986.
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.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Algebra and Number Theory
Physical Sciences > Geometry and Topology |
| Uncontrolled Keywords: | Geometry and Topology, Algebra and Number Theory |
| Language: | English |
| Date: | 23 November 2018 |
| Deposited On: | 17 Jan 2019 10:42 |
| Last Modified: | 19 May 2025 01:39 |
| Publisher: | Association des Annales de l'Institut Fourier |
| ISSN: | 0373-0956 |
| OA Status: | Gold |
| Free access at: | Publisher DOI. An embargo period may apply. |
| Publisher DOI: | https://doi.org/10.5802/aif.3200 |
De Lellis, Camillo