Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:concerns |
gptkb:Allen–Cahn_equation
elliptic partial differential equations |
| gptkbp:dimensionCounterexample |
n ≥ 9
|
| gptkbp:dimensionProven |
n ≤ 8
|
| gptkbp:field |
gptkb:mathematics
partial differential equations |
| https://www.w3.org/2000/01/rdf-schema#label |
De Giorgi conjecture
|
| gptkbp:notableExample |
gptkb:Frank_Pacard
gptkb:Juncheng_Wei gptkb:Manuel_del_Pino gptkb:Michał_Kowalczyk |
| gptkbp:notableProofsBy |
gptkb:Luis_Caffarelli
gptkb:Enrico_Valdinoci gptkb:Xavier_Cabré |
| gptkbp:proposedBy |
gptkb:Ennio_De_Giorgi
|
| gptkbp:relatedTo |
phase transitions
minimal surfaces symmetry of solutions |
| gptkbp:status |
partially proven
|
| gptkbp:yearProposed |
1978
|
| gptkbp:bfsParent |
gptkb:Ennio_De_Giorgi
|
| gptkbp:bfsLayer |
6
|