Regularity and compactness theory of stable free-boundary minimal hypersurfaces HXFA55BREZ
| URI | m2://res/HXFA55BREZ |
|---|---|
| Kind | preprint |
| Creators | Costante Bellettini, Martin Man-chun Li, Davide Parise, Lorenzo Sarnataro |
| Date | 2026-10-07 |
| MSC | 53-XX, 35-XX |
| Subjects | arxiv math.DG, arxiv math.AP |
| Scope | in |
Expressions
e1: version, preprint
| Language | en |
|---|---|
| Date | 2026-10-07 |
| Ids | arXiv 2610.09596 |
Items in this resource
The mentions of the inventory that name this resource. Each name links to the card of its inventory row.
| Item | Kind | Where | Source |
|---|---|---|---|
| 1W0MSG5X3Y | statement | lemma 4.9 | arxiv |
| Compactness theory | statement | theorem 1.1 | arxiv |
| Caccioppoli inequality | statement | lemma 3.4 | arxiv |
| 3CSWF26ZER | statement | lemma D.1 | arxiv |
| 3R4VPSSWTN | statement | proposition 5.11 | arxiv |
| Singular properly immersed free-boundary minimal hypersurfaces | definition | definition 2.6 | arxiv |
| 6NF2EF4VEN | statement | lemma 2.16 | arxiv |
| 79PDQZCFXZ | problem | problem 1.21 | arxiv |
| 7HZY7H0C2N | statement | lemma 4.8 | arxiv |
| Differential inequalities for the tilt | statement | lemma 3.2 | arxiv |
| Boundary-parallel $\varepsilon$-regularity for the tilt | statement | theorem 1.11 | arxiv |
| Caccioppoli inequality | statement | lemma 4.10 | arxiv |
| De Giorgi iteration | statement | lemma 2.18 | arxiv |
| Boundary-orthogonal sheeting | statement | theorem 1.15 | arxiv |
| 9ZJ4GYTEKX | statement | proposition 5.7 | arxiv |
| Regular and singular set | definition | definition C.3 | arxiv |
| A99FRT0PSE | statement | lemma 4.6 | arxiv |
| ARWG4B31N6 | problem | problem 1.22 | arxiv |
| B6023XK286 | statement | lemma 5.8 | arxiv |
| BPX5QJJHA9 | statement | proposition 5.14 | arxiv |
| Adapted $\rho$-neighbourhood | definition | definition 4.1 | arxiv |
| CG1S9WZMD2 | statement | corollary B.6 | arxiv |
| $j$-stratum | definition | definition C.5 | arxiv |
| Boundary branch point | example | example 1.17 | arxiv |
| Adapted tilt function | definition | definition 4.7 | arxiv |
| Boundary-parallel sheeting | statement | theorem 1.12 | arxiv |
| Orthogonal tilt--height excess estimate | statement | proposition 5.2 | arxiv |
| GK2MVZ3M7P | statement | proposition C.7 | arxiv |
| GNTA4BSH0M | statement | corollary 2.19 | arxiv |
| Interior branch point touching the boundary | example | example 1.16 | arxiv |
| JE9MF0PBHE | statement | lemma 4.3 | arxiv |
| K2BGNJ8GCW | statement | lemma A.2 | arxiv |
| Tilt function | definition | definition 3.1 | arxiv |
| KEY0S389JT | statement | theorem 1.8 | arxiv |
| KJ64N17BAY | statement | lemma 2.14 | arxiv |
| NFPVCYHNM7 | definition | definition 2.5 | arxiv |
| Reflection principle | statement | lemma C.2 | arxiv |
| Stable free-boundary minimal hypersurface | definition | definition 2.12 | arxiv |
| QM79QXT0TG | statement | lemma 3.3 | arxiv |
| QQJC67JGF3 | statement | lemma 5.13 | arxiv |
| R4CRFKJ4TC | statement | lemma B.1 | arxiv |
| RXGK9934FV | problem | problem 1.19 | arxiv |
| S5K4XWDY70 | statement | lemma 5.4 | arxiv |
| Free-boundary minimal immersions and embeddings | definition | definition 2.2 | arxiv |
| Regularity at flat tangent cones | statement | proposition 5.12 | arxiv |
| Uniqueness of flat tangent cones | statement | corollary 1.18 | arxiv |
| V98W9P71KP | statement | proposition B.5 | arxiv |
| Boundary-orthogonal $\varepsilon$-regularity for the tilt | statement | theorem 1.14 | arxiv |
| WS89GYE9YM | statement | lemma 2.17 | arxiv |
| X092JWV16C | statement | lemma A.1 | arxiv |
| XEHRTYSZT2 | problem | problem 1.23 | arxiv |
| Spine of a cone | definition | definition C.4 | arxiv |
| Z0SSHQ3ZB0 | problem | problem 1.20 | arxiv |
| ZQ3F0C4RAN | statement | lemma B.4 | arxiv |
| Tilt-excess estimate | statement | proposition 5.1 | arxiv |
Catalogue records
- arxiv: 2610.09596 (work)
- arxiv_text: 2610.09596 (work)