Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Laplace_equation
|
| gptkbp:concerns |
symmetry of solutions
overdetermined boundary value problems |
| gptkbp:field |
gptkb:mathematics
partial differential equations |
| https://www.w3.org/2000/01/rdf-schema#label |
Serrin's theorem
|
| gptkbp:namedAfter |
gptkb:James_Serrin
|
| gptkbp:publishedIn |
gptkb:Archive_for_Rational_Mechanics_and_Analysis
|
| gptkbp:relatedTo |
gptkb:Alexandrov's_soap_bubble_theorem
|
| gptkbp:sentence |
If a bounded domain in Euclidean space admits a positive solution to a certain overdetermined elliptic PDE with constant Dirichlet and Neumann boundary conditions, then the domain must be a ball.
|
| gptkbp:yearProposed |
1971
|
| gptkbp:bfsParent |
gptkb:James_Serrin
|
| gptkbp:bfsLayer |
7
|