A strong min-max property for level sets of Phase Transitions
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866929314736373760 |
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| author | Silva, Érico Melo |
| author_facet | Silva, Érico Melo |
| contents | We show that certain functions whose nodal sets lie near a fixed nondegenerate minimal hypersurface satisfy a strong min-max principle for the Allen--Cahn energy which is analogous to the strong min-max principle for non-degenerate minimal hypersurfaces first proved by Brian White. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_03683 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A strong min-max property for level sets of Phase Transitions Silva, Érico Melo Differential Geometry We show that certain functions whose nodal sets lie near a fixed nondegenerate minimal hypersurface satisfy a strong min-max principle for the Allen--Cahn energy which is analogous to the strong min-max principle for non-degenerate minimal hypersurfaces first proved by Brian White. |
| title | A strong min-max property for level sets of Phase Transitions |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2310.03683 |