Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:inequality
|
| gptkbp:appliesTo |
gptkb:Sobolev_spaces
|
| gptkbp:category |
inequalities
|
| gptkbp:field |
gptkb:mathematics
analysis functional analysis |
| gptkbp:firstPublished |
1890
|
| gptkbp:generalizes |
Wirtinger inequality
|
| gptkbp:hasVariant |
gptkb:Poincaré–Wirtinger_inequality
Poincaré inequality for domains with boundary weighted Poincaré inequality |
| https://www.w3.org/2000/01/rdf-schema#label |
Poincaré inequality
|
| gptkbp:namedAfter |
gptkb:Henri_Poincaré
|
| gptkbp:relatedTo |
gptkb:Friedrichs_inequality
gptkb:Sobolev_inequality |
| gptkbp:state |
the L^p norm of a function is controlled by the L^p norm of its gradient under certain conditions
|
| gptkbp:usedIn |
calculus of variations
partial differential equations |
| gptkbp:bfsParent |
gptkb:Henri_Poincaré
|
| gptkbp:bfsLayer |
5
|