Light rays of Lorentzian graphs and the Born-Infeld model 9JHMTYGWFQ
| URI | m2://res/9JHMTYGWFQ |
|---|---|
| Kind | preprint |
| Creators | Cristiana De Filippis, Giuseppe Mingione |
| Date | 2026-09-21 |
| MSC | 35-XX, 53-XX, 51-XX, 52-XX |
| Subjects | arxiv math.AP, arxiv math.DG, arxiv math.MG |
| Scope | in |
Expressions
e1: version, preprint
| Language | en |
|---|---|
| Date | 2026-09-21 |
| Ids | arXiv 2609.25449 |
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 |
|---|---|---|---|
| Global minimizers on $\mathbb R^n$ | definition | definition 2.8 | arxiv |
| Intrinsic Lorentzian potentials | definition | definition 1.17 | arxiv |
| 2CRHD34AKR | statement | corollary 8.2 | arxiv |
| Local minimizers | definition | definition 1.2 | arxiv |
| Sobolev exclusion of light segments - lower dimensions | statement | theorem 7.3 | arxiv |
| Borderline boost function regularity I | statement | theorem 1.12 | arxiv |
| 3ZJTTV1X53 | statement | lemma 11.1 | arxiv |
| Boost integrability and light segments | statement | theorem 1.11 | arxiv |
| Boost function regularity | statement | theorem 1.7 | arxiv |
| Borderline boost function regularity II | statement | theorem 1.15 | arxiv |
| The rough anti-peeling | statement | theorem 1.1 | arxiv |
| Capacitary bounds for the degeneracy sets | statement | theorem 1.8 | arxiv |
| Uniform correctors on boundary caps | statement | corollary 10.3 | arxiv |
| Classical solutions are minimizers | statement | proposition 9.2 | arxiv |
| 8B818VPWTB | statement | proposition 3.1 | arxiv |
| Spacelikeness via compactness | statement | lemma 10.1 | arxiv |
| Existence and Euler--Lagrange equation | statement | proposition 21.1 | arxiv |
| Light segments shine at the weak-endpoint | statement | theorem 1.4 | arxiv |
| A2KNC879KG | statement | corollary 1.6 | arxiv |
| AY613S73AX | statement | lemma 2.10 | arxiv |
| Absence of light segments | statement | theorem 1.3 | arxiv |
| C28AY0NE78 | statement | lemma 4.7 | arxiv |
| C8JCMV0QKD | statement | lemma 5.4 | arxiv |
| CXSSR4QNWD | definition | definition 2.5 | arxiv |
| Moser--Trudinger inequality | statement | lemma 2.11 | arxiv |
| Intrinsic potential estimate | statement | theorem 1.18 | arxiv |
| E7218MAMYF | statement | theorem 7.4 | arxiv |
| E7Y9HF8J3X | statement | corollary 1.10 | arxiv |
| EM23PGW1YN | definition | definition 2.3 | arxiv |
| Borderline boost regularity for Dirichlet problems | statement | theorem 1.16 | arxiv |
| GNB8R2HMX7 | definition | definition 4.1 | arxiv |
| GT5PTVVBYP | statement | corollary 1.9 | arxiv |
| H5DK043CP8 | statement | proposition 11.5 | arxiv |
| Calibrated De Giorgi-type iteration | statement | lemma 12.1 | arxiv |
| Nondegenerate light-ray lengths | statement | proposition 7.9 | arxiv |
| Strict spacelikeness at the boundary | statement | proposition 10.4 | arxiv |
| MV1E9Y4MZ1 | statement | proposition 8.1 | arxiv |
| MVN9A9GFYY | statement | lemma 4.8 | arxiv |
| Calder\'on--Zygmund type estimate | statement | proposition 21.2 | arxiv |
| Nonlinear correctors via contractions | statement | lemma 10.2 | arxiv |
| NRDCNZT7R0 | statement | lemma 7.1 | arxiv |
| P04DA1QEWK | statement | corollary 10.6 | arxiv |
| PMMPFPSVE2 | statement | lemma 11.3 | arxiv |
| Q45EMRM8VC | statement | proposition 4.5 | arxiv |
| Q4EX2MGR7N | statement | lemma 7.6 | arxiv |
| QG1CFQ0TCC | statement | lemma 11.4 | arxiv |
| QRTXZHNQ5B | statement | lemma 3.2 | arxiv |
| S01SRWNZX0 | statement | proposition 9.1 | arxiv |
| SNGQ6J20JS | definition | definition 2.4 | arxiv |
| Structure of $\mathcal K_u$ | statement | proposition 7.8 | arxiv |
| V4WC592P4B | definition | definition 5.1 | arxiv |
| VH8S97QZ32 | statement | lemma 11.2 | arxiv |
| VHSXS17R2A | statement | proposition 13.1 | arxiv |
| $p$-capacity of $\mathcal I_u$ and $\mathcal S_u$ | statement | proposition 7.7 | arxiv |
| X88B18XHAR | definition | definition 4.2 | arxiv |
| Sobolev exclusion of light segments - higher dimensions | statement | theorem 7.2 | arxiv |
| No light segments for the Dirichlet problem | statement | theorem 1.5 | arxiv |
| Z4FDD41QGT | statement | lemma 4.4 | arxiv |
| ZETS8B17G0 | statement | lemma 4.3 | arxiv |
Catalogue records
- arxiv: 2609.25449 (work)
- arxiv_text: 2609.25449 (work)