| Title | Min-max theory for minimal hypersurfaces with boundary |
| Publication Type | Journal Article |
| Year of Publication | 2018 |
| Authors | De Lellis C., Ramic J. |
| Journal | Annales de l'Institut Fourier |
| Volume | 68 |
| Issue | 5 |
| Pagination | 1909–1986 |
| Date Published | November |
| Publisher | Association des Annales de l'Institut Fourier |
| Type of Article | geometric measure theory |
| ISSN | 0373-0956 |
| Keywords | Algebra and Number Theory, Geometry and Topology |
| 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. |
| Notes | Ann. Inst. Fourier (Grenoble) 68 (2018) no 5, 1909-1986 |
| URL | https://aif.centre-mersenne.org/item/AIF_2018__68_5_1909_0/ |
| DOI | 10.5802/aif.3200 |
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